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Finding the Fourth Proportional to 71,835.50, 107,753.25 and 22,587.50

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Solution

The fourth proportional to 71,835.50, 107,753.25 and 22,587.50 is: 33,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835.50 : 107,753.25 = 22,587.50 : x
  2. Step 2: Convert to fraction form
    71,835.50/107,753.25 = 22,587.50/x
  3. Step 3: Cross multiply
    71,835.50x = 107,753.25 × 22,587.50
  4. Step 4: Simplify right side
    71,835.50x = 2,433,876,534.38
  5. Step 5: Solve for x
    x = 2,433,876,534.38/71,835.50
  6. Step 6: Final answer
    x = 33,881.25

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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.