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Finding the Fourth Proportional to 40,012.52, 55,209.72 and 24,098

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Solution

The fourth proportional to 40,012.52, 55,209.72 and 24,098 is: 33,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,012.52 : 55,209.72 = 24,098 : x
  2. Step 2: Convert to fraction form
    40,012.52/55,209.72 = 24,098/x
  3. Step 3: Cross multiply
    40,012.52x = 55,209.72 × 24,098
  4. Step 4: Simplify right side
    40,012.52x = 1,330,443,832.56
  5. Step 5: Solve for x
    x = 1,330,443,832.56/40,012.52
  6. Step 6: Final answer
    x = 33,250.69

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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.