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Finding the Fourth Proportional to 40,744.52, 56,227.36 and 24,829

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Solution

The fourth proportional to 40,744.52, 56,227.36 and 24,829 is: 34,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,744.52 : 56,227.36 = 24,829 : x
  2. Step 2: Convert to fraction form
    40,744.52/56,227.36 = 24,829/x
  3. Step 3: Cross multiply
    40,744.52x = 56,227.36 × 24,829
  4. Step 4: Simplify right side
    40,744.52x = 1,396,069,121.44
  5. Step 5: Solve for x
    x = 1,396,069,121.44/40,744.52
  6. Step 6: Final answer
    x = 34,263.97

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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.