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Finding the Fourth Proportional to 71,475.52, 107,185.92 and 24,077.88

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Solution

The fourth proportional to 71,475.52, 107,185.92 and 24,077.88 is: 36,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475.52 : 107,185.92 = 24,077.88 : x
  2. Step 2: Convert to fraction form
    71,475.52/107,185.92 = 24,077.88/x
  3. Step 3: Cross multiply
    71,475.52x = 107,185.92 × 24,077.88
  4. Step 4: Simplify right side
    71,475.52x = 2,580,809,227.21
  5. Step 5: Solve for x
    x = 2,580,809,227.21/71,475.52
  6. Step 6: Final answer
    x = 36,107.60

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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.