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Finding the Fourth Proportional to 71,825.96, 107,702.90 and 41,849.89

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Solution

The fourth proportional to 71,825.96, 107,702.90 and 41,849.89 is: 62,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.96 : 107,702.90 = 41,849.89 : x
  2. Step 2: Convert to fraction form
    71,825.96/107,702.90 = 41,849.89/x
  3. Step 3: Cross multiply
    71,825.96x = 107,702.90 × 41,849.89
  4. Step 4: Simplify right side
    71,825.96x = 4,507,354,039.17
  5. Step 5: Solve for x
    x = 4,507,354,039.17/71,825.96
  6. Step 6: Final answer
    x = 62,753.83

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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.