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Finding the Fourth Proportional to 76,871.38, 106,082.52 and 43,337.38

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Solution

The fourth proportional to 76,871.38, 106,082.52 and 43,337.38 is: 59,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.38 : 106,082.52 = 43,337.38 : x
  2. Step 2: Convert to fraction form
    76,871.38/106,082.52 = 43,337.38/x
  3. Step 3: Cross multiply
    76,871.38x = 106,082.52 × 43,337.38
  4. Step 4: Simplify right side
    76,871.38x = 4,597,337,950.19
  5. Step 5: Solve for x
    x = 4,597,337,950.19/76,871.38
  6. Step 6: Final answer
    x = 59,805.59

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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.