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Finding the Fourth Proportional to 71,285.88, 106,892.82 and 41,712.60

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Solution

The fourth proportional to 71,285.88, 106,892.82 and 41,712.60 is: 62,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,285.88 : 106,892.82 = 41,712.60 : x
  2. Step 2: Convert to fraction form
    71,285.88/106,892.82 = 41,712.60/x
  3. Step 3: Cross multiply
    71,285.88x = 106,892.82 × 41,712.60
  4. Step 4: Simplify right side
    71,285.88x = 4,458,777,443.53
  5. Step 5: Solve for x
    x = 4,458,777,443.53/71,285.88
  6. Step 6: Final answer
    x = 62,547.83

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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.