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Finding the Fourth Proportional to 68,474.10, 102,711.15 and 24,150.90

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Solution

The fourth proportional to 68,474.10, 102,711.15 and 24,150.90 is: 36,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,474.10 : 102,711.15 = 24,150.90 : x
  2. Step 2: Convert to fraction form
    68,474.10/102,711.15 = 24,150.90/x
  3. Step 3: Cross multiply
    68,474.10x = 102,711.15 × 24,150.90
  4. Step 4: Simplify right side
    68,474.10x = 2,480,566,712.54
  5. Step 5: Solve for x
    x = 2,480,566,712.54/68,474.10
  6. Step 6: Final answer
    x = 36,226.35

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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.