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Finding the Fourth Proportional to 69,857.22, 96,399.04 and 38,024.22

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Solution

The fourth proportional to 69,857.22, 96,399.04 and 38,024.22 is: 52,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,857.22 : 96,399.04 = 38,024.22 : x
  2. Step 2: Convert to fraction form
    69,857.22/96,399.04 = 38,024.22/x
  3. Step 3: Cross multiply
    69,857.22x = 96,399.04 × 38,024.22
  4. Step 4: Simplify right side
    69,857.22x = 3,665,498,304.75
  5. Step 5: Solve for x
    x = 3,665,498,304.75/69,857.22
  6. Step 6: Final answer
    x = 52,471.29

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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.