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Finding the Fourth Proportional to 47,761.90, 71,642.85 and 41,200.90

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Solution

The fourth proportional to 47,761.90, 71,642.85 and 41,200.90 is: 61,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,761.90 : 71,642.85 = 41,200.90 : x
  2. Step 2: Convert to fraction form
    47,761.90/71,642.85 = 41,200.90/x
  3. Step 3: Cross multiply
    47,761.90x = 71,642.85 × 41,200.90
  4. Step 4: Simplify right side
    47,761.90x = 2,951,749,898.57
  5. Step 5: Solve for x
    x = 2,951,749,898.57/47,761.90
  6. Step 6: Final answer
    x = 61,801.35

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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.