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Finding the Fourth Proportional to 32,732.10, 49,024.31 and 15,165

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Solution

The fourth proportional to 32,732.10, 49,024.31 and 15,165 is: 22,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732.10 : 49,024.31 = 15,165 : x
  2. Step 2: Convert to fraction form
    32,732.10/49,024.31 = 15,165/x
  3. Step 3: Cross multiply
    32,732.10x = 49,024.31 × 15,165
  4. Step 4: Simplify right side
    32,732.10x = 743,453,585.33
  5. Step 5: Solve for x
    x = 743,453,585.33/32,732.10
  6. Step 6: Final answer
    x = 22,713.29

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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.