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Finding the Fourth Proportional to 38,390.71, 57,549.67 and 13,414.52

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Solution

The fourth proportional to 38,390.71, 57,549.67 and 13,414.52 is: 20,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,390.71 : 57,549.67 = 13,414.52 : x
  2. Step 2: Convert to fraction form
    38,390.71/57,549.67 = 13,414.52/x
  3. Step 3: Cross multiply
    38,390.71x = 57,549.67 × 13,414.52
  4. Step 4: Simplify right side
    38,390.71x = 772,001,199.21
  5. Step 5: Solve for x
    x = 772,001,199.21/38,390.71
  6. Step 6: Final answer
    x = 20,109.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.