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Finding the Fourth Proportional to 38,209.50, 52,733.97 and 21,442.50

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Solution

The fourth proportional to 38,209.50, 52,733.97 and 21,442.50 is: 29,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.50 : 52,733.97 = 21,442.50 : x
  2. Step 2: Convert to fraction form
    38,209.50/52,733.97 = 21,442.50/x
  3. Step 3: Cross multiply
    38,209.50x = 52,733.97 × 21,442.50
  4. Step 4: Simplify right side
    38,209.50x = 1,130,748,151.73
  5. Step 5: Solve for x
    x = 1,130,748,151.73/38,209.50
  6. Step 6: Final answer
    x = 29,593.38

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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.