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Finding the Fourth Proportional to 65,718.80, 90,691.84 and 37,424.50

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Solution

The fourth proportional to 65,718.80, 90,691.84 and 37,424.50 is: 51,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718.80 : 90,691.84 = 37,424.50 : x
  2. Step 2: Convert to fraction form
    65,718.80/90,691.84 = 37,424.50/x
  3. Step 3: Cross multiply
    65,718.80x = 90,691.84 × 37,424.50
  4. Step 4: Simplify right side
    65,718.80x = 3,394,096,766.08
  5. Step 5: Solve for x
    x = 3,394,096,766.08/65,718.80
  6. Step 6: Final answer
    x = 51,645.75

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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.