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Finding the Fourth Proportional to 61,722.96, 85,179.24 and 37,862.82

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Solution

The fourth proportional to 61,722.96, 85,179.24 and 37,862.82 is: 52,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722.96 : 85,179.24 = 37,862.82 : x
  2. Step 2: Convert to fraction form
    61,722.96/85,179.24 = 37,862.82/x
  3. Step 3: Cross multiply
    61,722.96x = 85,179.24 × 37,862.82
  4. Step 4: Simplify right side
    61,722.96x = 3,225,126,231.86
  5. Step 5: Solve for x
    x = 3,225,126,231.86/61,722.96
  6. Step 6: Final answer
    x = 52,251.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.