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Finding the Fourth Proportional to 102,531.70, 153,797.55 and 36,046.90

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Solution

The fourth proportional to 102,531.70, 153,797.55 and 36,046.90 is: 54,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,531.70 : 153,797.55 = 36,046.90 : x
  2. Step 2: Convert to fraction form
    102,531.70/153,797.55 = 36,046.90/x
  3. Step 3: Cross multiply
    102,531.70x = 153,797.55 × 36,046.90
  4. Step 4: Simplify right side
    102,531.70x = 5,543,924,905.10
  5. Step 5: Solve for x
    x = 5,543,924,905.10/102,531.70
  6. Step 6: Final answer
    x = 54,070.35

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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.