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Finding the Fourth Proportional to 78,575.52, 117,867.17 and 22,423.91

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Solution

The fourth proportional to 78,575.52, 117,867.17 and 22,423.91 is: 33,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,575.52 : 117,867.17 = 22,423.91 : x
  2. Step 2: Convert to fraction form
    78,575.52/117,867.17 = 22,423.91/x
  3. Step 3: Cross multiply
    78,575.52x = 117,867.17 × 22,423.91
  4. Step 4: Simplify right side
    78,575.52x = 2,643,042,110.58
  5. Step 5: Solve for x
    x = 2,643,042,110.58/78,575.52
  6. Step 6: Final answer
    x = 33,636.97

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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.