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Finding the Fourth Proportional to 42,205.97, 58,251.41 and 24,311.34

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Solution

The fourth proportional to 42,205.97, 58,251.41 and 24,311.34 is: 33,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.97 : 58,251.41 = 24,311.34 : x
  2. Step 2: Convert to fraction form
    42,205.97/58,251.41 = 24,311.34/x
  3. Step 3: Cross multiply
    42,205.97x = 58,251.41 × 24,311.34
  4. Step 4: Simplify right side
    42,205.97x = 1,416,169,712.43
  5. Step 5: Solve for x
    x = 1,416,169,712.43/42,205.97
  6. Step 6: Final answer
    x = 33,553.78

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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.