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Finding the Fourth Proportional to 38,539.90, 57,813.69 and 10,460.41

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Solution

The fourth proportional to 38,539.90, 57,813.69 and 10,460.41 is: 15,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539.90 : 57,813.69 = 10,460.41 : x
  2. Step 2: Convert to fraction form
    38,539.90/57,813.69 = 10,460.41/x
  3. Step 3: Cross multiply
    38,539.90x = 57,813.69 × 10,460.41
  4. Step 4: Simplify right side
    38,539.90x = 604,754,901.01
  5. Step 5: Solve for x
    x = 604,754,901.01/38,539.90
  6. Step 6: Final answer
    x = 15,691.66

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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.