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Finding the Fourth Proportional to 60,142.64, 82,997.88 and 33,287.36

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Solution

The fourth proportional to 60,142.64, 82,997.88 and 33,287.36 is: 45,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,142.64 : 82,997.88 = 33,287.36 : x
  2. Step 2: Convert to fraction form
    60,142.64/82,997.88 = 33,287.36/x
  3. Step 3: Cross multiply
    60,142.64x = 82,997.88 × 33,287.36
  4. Step 4: Simplify right side
    60,142.64x = 2,762,780,310.80
  5. Step 5: Solve for x
    x = 2,762,780,310.80/60,142.64
  6. Step 6: Final answer
    x = 45,937.13

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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.