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Finding the Fourth Proportional to 40,415.86, 55,747.17 and 25,282.26

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Solution

The fourth proportional to 40,415.86, 55,747.17 and 25,282.26 is: 34,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,415.86 : 55,747.17 = 25,282.26 : x
  2. Step 2: Convert to fraction form
    40,415.86/55,747.17 = 25,282.26/x
  3. Step 3: Cross multiply
    40,415.86x = 55,747.17 × 25,282.26
  4. Step 4: Simplify right side
    40,415.86x = 1,409,414,446.20
  5. Step 5: Solve for x
    x = 1,409,414,446.20/40,415.86
  6. Step 6: Final answer
    x = 34,872.80

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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.