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Finding the Fourth Proportional to 81,493.80, 122,240.70 and 42,127.80

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Solution

The fourth proportional to 81,493.80, 122,240.70 and 42,127.80 is: 63,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,493.80 : 122,240.70 = 42,127.80 : x
  2. Step 2: Convert to fraction form
    81,493.80/122,240.70 = 42,127.80/x
  3. Step 3: Cross multiply
    81,493.80x = 122,240.70 × 42,127.80
  4. Step 4: Simplify right side
    81,493.80x = 5,149,731,761.46
  5. Step 5: Solve for x
    x = 5,149,731,761.46/81,493.80
  6. Step 6: Final answer
    x = 63,191.70

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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.