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Finding the Fourth Proportional to 42,013.46, 57,982.56 and 24,112.46

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Solution

The fourth proportional to 42,013.46, 57,982.56 and 24,112.46 is: 33,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.46 : 57,982.56 = 24,112.46 : x
  2. Step 2: Convert to fraction form
    42,013.46/57,982.56 = 24,112.46/x
  3. Step 3: Cross multiply
    42,013.46x = 57,982.56 × 24,112.46
  4. Step 4: Simplify right side
    42,013.46x = 1,398,102,158.70
  5. Step 5: Solve for x
    x = 1,398,102,158.70/42,013.46
  6. Step 6: Final answer
    x = 33,277.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.