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Finding the Fourth Proportional to 71,833.74, 107,850 and 49,592.22

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Solution

The fourth proportional to 71,833.74, 107,850 and 49,592.22 is: 74,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.74 : 107,850 = 49,592.22 : x
  2. Step 2: Convert to fraction form
    71,833.74/107,850 = 49,592.22/x
  3. Step 3: Cross multiply
    71,833.74x = 107,850 × 49,592.22
  4. Step 4: Simplify right side
    71,833.74x = 5,348,520,927
  5. Step 5: Solve for x
    x = 5,348,520,927/71,833.74
  6. Step 6: Final answer
    x = 74,456.95

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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.