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Finding the Fourth Proportional to 31,414.72, 43,354.36 and 19,486

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Solution

The fourth proportional to 31,414.72, 43,354.36 and 19,486 is: 26,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.72 : 43,354.36 = 19,486 : x
  2. Step 2: Convert to fraction form
    31,414.72/43,354.36 = 19,486/x
  3. Step 3: Cross multiply
    31,414.72x = 43,354.36 × 19,486
  4. Step 4: Simplify right side
    31,414.72x = 844,803,058.96
  5. Step 5: Solve for x
    x = 844,803,058.96/31,414.72
  6. Step 6: Final answer
    x = 26,891.95

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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.