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Finding the Fourth Proportional to 100,598.12, 150,920.52 and 29,517.90

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Solution

The fourth proportional to 100,598.12, 150,920.52 and 29,517.90 is: 44,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,598.12 : 150,920.52 = 29,517.90 : x
  2. Step 2: Convert to fraction form
    100,598.12/150,920.52 = 29,517.90/x
  3. Step 3: Cross multiply
    100,598.12x = 150,920.52 × 29,517.90
  4. Step 4: Simplify right side
    100,598.12x = 4,454,856,817.31
  5. Step 5: Solve for x
    x = 4,454,856,817.31/100,598.12
  6. Step 6: Final answer
    x = 44,283.70

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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.