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Finding the Fourth Proportional to 71,458.92, 107,214.38 and 24,716.52

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Solution

The fourth proportional to 71,458.92, 107,214.38 and 24,716.52 is: 37,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,458.92 : 107,214.38 = 24,716.52 : x
  2. Step 2: Convert to fraction form
    71,458.92/107,214.38 = 24,716.52/x
  3. Step 3: Cross multiply
    71,458.92x = 107,214.38 × 24,716.52
  4. Step 4: Simplify right side
    71,458.92x = 2,649,966,367.56
  5. Step 5: Solve for x
    x = 2,649,966,367.56/71,458.92
  6. Step 6: Final answer
    x = 37,083.77

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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.