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Finding the Fourth Proportional to 71,849.76, 107,774.66 and 21,930.13

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Solution

The fourth proportional to 71,849.76, 107,774.66 and 21,930.13 is: 32,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,849.76 : 107,774.66 = 21,930.13 : x
  2. Step 2: Convert to fraction form
    71,849.76/107,774.66 = 21,930.13/x
  3. Step 3: Cross multiply
    71,849.76x = 107,774.66 × 21,930.13
  4. Step 4: Simplify right side
    71,849.76x = 2,363,512,194.86
  5. Step 5: Solve for x
    x = 2,363,512,194.86/71,849.76
  6. Step 6: Final answer
    x = 32,895.20

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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.