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Finding the Fourth Proportional to 137,562.50, 206,344.06 and 37,724.13

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Solution

The fourth proportional to 137,562.50, 206,344.06 and 37,724.13 is: 56,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,562.50 : 206,344.06 = 37,724.13 : x
  2. Step 2: Convert to fraction form
    137,562.50/206,344.06 = 37,724.13/x
  3. Step 3: Cross multiply
    137,562.50x = 206,344.06 × 37,724.13
  4. Step 4: Simplify right side
    137,562.50x = 7,784,150,049.86
  5. Step 5: Solve for x
    x = 7,784,150,049.86/137,562.50
  6. Step 6: Final answer
    x = 56,586.28

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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.