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Finding the Fourth Proportional to 42,005.52, 57,969.90 and 24,100.38

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Solution

The fourth proportional to 42,005.52, 57,969.90 and 24,100.38 is: 33,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.52 : 57,969.90 = 24,100.38 : x
  2. Step 2: Convert to fraction form
    42,005.52/57,969.90 = 24,100.38/x
  3. Step 3: Cross multiply
    42,005.52x = 57,969.90 × 24,100.38
  4. Step 4: Simplify right side
    42,005.52x = 1,397,096,618.56
  5. Step 5: Solve for x
    x = 1,397,096,618.56/42,005.52
  6. Step 6: Final answer
    x = 33,259.83

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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.