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Finding the Fourth Proportional to 38,605.76, 53,266.76 and 23,498.24

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Solution

The fourth proportional to 38,605.76, 53,266.76 and 23,498.24 is: 32,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605.76 : 53,266.76 = 23,498.24 : x
  2. Step 2: Convert to fraction form
    38,605.76/53,266.76 = 23,498.24/x
  3. Step 3: Cross multiply
    38,605.76x = 53,266.76 × 23,498.24
  4. Step 4: Simplify right side
    38,605.76x = 1,251,675,110.50
  5. Step 5: Solve for x
    x = 1,251,675,110.50/38,605.76
  6. Step 6: Final answer
    x = 32,421.98

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Half scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.