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Finding the Fourth Proportional to 40,456.64, 55,832.16 and 22,553.12

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Solution

The fourth proportional to 40,456.64, 55,832.16 and 22,553.12 is: 31,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,456.64 : 55,832.16 = 22,553.12 : x
  2. Step 2: Convert to fraction form
    40,456.64/55,832.16 = 22,553.12/x
  3. Step 3: Cross multiply
    40,456.64x = 55,832.16 × 22,553.12
  4. Step 4: Simplify right side
    40,456.64x = 1,259,189,404.34
  5. Step 5: Solve for x
    x = 1,259,189,404.34/40,456.64
  6. Step 6: Final answer
    x = 31,124.42

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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.