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Finding the Fourth Proportional to 42,920.28, 59,230.44 and 24,057

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Solution

The fourth proportional to 42,920.28, 59,230.44 and 24,057 is: 33,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,920.28 : 59,230.44 = 24,057 : x
  2. Step 2: Convert to fraction form
    42,920.28/59,230.44 = 24,057/x
  3. Step 3: Cross multiply
    42,920.28x = 59,230.44 × 24,057
  4. Step 4: Simplify right side
    42,920.28x = 1,424,906,695.08
  5. Step 5: Solve for x
    x = 1,424,906,695.08/42,920.28
  6. Step 6: Final answer
    x = 33,198.91

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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.