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Finding the Fourth Proportional to 42,022.60, 57,997.02 and 24,123.22

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Solution

The fourth proportional to 42,022.60, 57,997.02 and 24,123.22 is: 33,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022.60 : 57,997.02 = 24,123.22 : x
  2. Step 2: Convert to fraction form
    42,022.60/57,997.02 = 24,123.22/x
  3. Step 3: Cross multiply
    42,022.60x = 57,997.02 × 24,123.22
  4. Step 4: Simplify right side
    42,022.60x = 1,399,074,872.80
  5. Step 5: Solve for x
    x = 1,399,074,872.80/42,022.60
  6. Step 6: Final answer
    x = 33,293.39

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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.