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Finding the Fourth Proportional to 48,754.92, 73,135.22 and 13,697.31

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Solution

The fourth proportional to 48,754.92, 73,135.22 and 13,697.31 is: 20,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,754.92 : 73,135.22 = 13,697.31 : x
  2. Step 2: Convert to fraction form
    48,754.92/73,135.22 = 13,697.31/x
  3. Step 3: Cross multiply
    48,754.92x = 73,135.22 × 13,697.31
  4. Step 4: Simplify right side
    48,754.92x = 1,001,755,711.77
  5. Step 5: Solve for x
    x = 1,001,755,711.77/48,754.92
  6. Step 6: Final answer
    x = 20,546.76

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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.