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Finding the Fourth Proportional to 40,744.42, 56,231.42 and 24,838.25

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Solution

The fourth proportional to 40,744.42, 56,231.42 and 24,838.25 is: 34,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,744.42 : 56,231.42 = 24,838.25 : x
  2. Step 2: Convert to fraction form
    40,744.42/56,231.42 = 24,838.25/x
  3. Step 3: Cross multiply
    40,744.42x = 56,231.42 × 24,838.25
  4. Step 4: Simplify right side
    40,744.42x = 1,396,689,662.47
  5. Step 5: Solve for x
    x = 1,396,689,662.47/40,744.42
  6. Step 6: Final answer
    x = 34,279.29

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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.