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Finding the Fourth Proportional to 48,747.96, 73,121.64 and 13,687.64

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Solution

The fourth proportional to 48,747.96, 73,121.64 and 13,687.64 is: 20,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,747.96 : 73,121.64 = 13,687.64 : x
  2. Step 2: Convert to fraction form
    48,747.96/73,121.64 = 13,687.64/x
  3. Step 3: Cross multiply
    48,747.96x = 73,121.64 × 13,687.64
  4. Step 4: Simplify right side
    48,747.96x = 1,000,862,684.53
  5. Step 5: Solve for x
    x = 1,000,862,684.53/48,747.96
  6. Step 6: Final answer
    x = 20,531.38

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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.