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Finding the Fourth Proportional to 38,042, 57,061.92 and 11,742.92

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Solution

The fourth proportional to 38,042, 57,061.92 and 11,742.92 is: 17,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042 : 57,061.92 = 11,742.92 : x
  2. Step 2: Convert to fraction form
    38,042/57,061.92 = 11,742.92/x
  3. Step 3: Cross multiply
    38,042x = 57,061.92 × 11,742.92
  4. Step 4: Simplify right side
    38,042x = 670,073,561.61
  5. Step 5: Solve for x
    x = 670,073,561.61/38,042
  6. Step 6: Final answer
    x = 17,614.05

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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.