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Finding the Fourth Proportional to 47,863.88, 71,958 and 38,569.16

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Solution

The fourth proportional to 47,863.88, 71,958 and 38,569.16 is: 57,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,863.88 : 71,958 = 38,569.16 : x
  2. Step 2: Convert to fraction form
    47,863.88/71,958 = 38,569.16/x
  3. Step 3: Cross multiply
    47,863.88x = 71,958 × 38,569.16
  4. Step 4: Simplify right side
    47,863.88x = 2,775,359,615.28
  5. Step 5: Solve for x
    x = 2,775,359,615.28/47,863.88
  6. Step 6: Final answer
    x = 57,984.43

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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.