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Finding the Fourth Proportional to 75,200.38, 103,776.52 and 44,986.97

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Solution

The fourth proportional to 75,200.38, 103,776.52 and 44,986.97 is: 62,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.38 : 103,776.52 = 44,986.97 : x
  2. Step 2: Convert to fraction form
    75,200.38/103,776.52 = 44,986.97/x
  3. Step 3: Cross multiply
    75,200.38x = 103,776.52 × 44,986.97
  4. Step 4: Simplify right side
    75,200.38x = 4,668,591,191.94
  5. Step 5: Solve for x
    x = 4,668,591,191.94/75,200.38
  6. Step 6: Final answer
    x = 62,082.02

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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.