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Finding the Fourth Proportional to 38,547.31, 57,842.84 and 15,190.15

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Solution

The fourth proportional to 38,547.31, 57,842.84 and 15,190.15 is: 22,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547.31 : 57,842.84 = 15,190.15 : x
  2. Step 2: Convert to fraction form
    38,547.31/57,842.84 = 15,190.15/x
  3. Step 3: Cross multiply
    38,547.31x = 57,842.84 × 15,190.15
  4. Step 4: Simplify right side
    38,547.31x = 878,641,416.03
  5. Step 5: Solve for x
    x = 878,641,416.03/38,547.31
  6. Step 6: Final answer
    x = 22,793.85

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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.