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Finding the Fourth Proportional to 87,507.73, 120,751.42 and 49,266.59

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Solution

The fourth proportional to 87,507.73, 120,751.42 and 49,266.59 is: 67,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,507.73 : 120,751.42 = 49,266.59 : x
  2. Step 2: Convert to fraction form
    87,507.73/120,751.42 = 49,266.59/x
  3. Step 3: Cross multiply
    87,507.73x = 120,751.42 × 49,266.59
  4. Step 4: Simplify right side
    87,507.73x = 5,949,010,701.06
  5. Step 5: Solve for x
    x = 5,949,010,701.06/87,507.73
  6. Step 6: Final answer
    x = 67,982.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.