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Finding the Fourth Proportional to 65,801.92, 90,764.84 and 43,142.38

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Solution

The fourth proportional to 65,801.92, 90,764.84 and 43,142.38 is: 59,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,801.92 : 90,764.84 = 43,142.38 : x
  2. Step 2: Convert to fraction form
    65,801.92/90,764.84 = 43,142.38/x
  3. Step 3: Cross multiply
    65,801.92x = 90,764.84 × 43,142.38
  4. Step 4: Simplify right side
    65,801.92x = 3,915,811,217.92
  5. Step 5: Solve for x
    x = 3,915,811,217.92/65,801.92
  6. Step 6: Final answer
    x = 59,509.07

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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.