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Finding the Fourth Proportional to 102,617.17, 153,948.84 and 36,061.90

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Solution

The fourth proportional to 102,617.17, 153,948.84 and 36,061.90 is: 54,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.17 : 153,948.84 = 36,061.90 : x
  2. Step 2: Convert to fraction form
    102,617.17/153,948.84 = 36,061.90/x
  3. Step 3: Cross multiply
    102,617.17x = 153,948.84 × 36,061.90
  4. Step 4: Simplify right side
    102,617.17x = 5,551,687,673.20
  5. Step 5: Solve for x
    x = 5,551,687,673.20/102,617.17
  6. Step 6: Final answer
    x = 54,100.96

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Why These Related Problems?

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