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Finding the Fourth Proportional to 31,908.85, 47,863.28 and 14,358.17

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Solution

The fourth proportional to 31,908.85, 47,863.28 and 14,358.17 is: 21,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.85 : 47,863.28 = 14,358.17 : x
  2. Step 2: Convert to fraction form
    31,908.85/47,863.28 = 14,358.17/x
  3. Step 3: Cross multiply
    31,908.85x = 47,863.28 × 14,358.17
  4. Step 4: Simplify right side
    31,908.85x = 687,229,266.55
  5. Step 5: Solve for x
    x = 687,229,266.55/31,908.85
  6. Step 6: Final answer
    x = 21,537.26

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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.