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Finding the Fourth Proportional to 38,161.32, 57,252.24 and 15,963

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Solution

The fourth proportional to 38,161.32, 57,252.24 and 15,963 is: 23,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,161.32 : 57,252.24 = 15,963 : x
  2. Step 2: Convert to fraction form
    38,161.32/57,252.24 = 15,963/x
  3. Step 3: Cross multiply
    38,161.32x = 57,252.24 × 15,963
  4. Step 4: Simplify right side
    38,161.32x = 913,917,507.12
  5. Step 5: Solve for x
    x = 913,917,507.12/38,161.32
  6. Step 6: Final answer
    x = 23,948.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.