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Finding the Fourth Proportional to 65,777.46, 98,691.05 and 39,500.52

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Solution

The fourth proportional to 65,777.46, 98,691.05 and 39,500.52 is: 59,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,777.46 : 98,691.05 = 39,500.52 : x
  2. Step 2: Convert to fraction form
    65,777.46/98,691.05 = 39,500.52/x
  3. Step 3: Cross multiply
    65,777.46x = 98,691.05 × 39,500.52
  4. Step 4: Simplify right side
    65,777.46x = 3,898,347,596.84
  5. Step 5: Solve for x
    x = 3,898,347,596.84/65,777.46
  6. Step 6: Final answer
    x = 59,265.71

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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.