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Finding the Fourth Proportional to 38,567, 53,226.36 and 23,460.68

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Solution

The fourth proportional to 38,567, 53,226.36 and 23,460.68 is: 32,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567 : 53,226.36 = 23,460.68 : x
  2. Step 2: Convert to fraction form
    38,567/53,226.36 = 23,460.68/x
  3. Step 3: Cross multiply
    38,567x = 53,226.36 × 23,460.68
  4. Step 4: Simplify right side
    38,567x = 1,248,726,599.52
  5. Step 5: Solve for x
    x = 1,248,726,599.52/38,567
  6. Step 6: Final answer
    x = 32,378.11

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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.