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Finding the Fourth Proportional to 31,963.14, 44,110.17 and 17,815.14

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Solution

The fourth proportional to 31,963.14, 44,110.17 and 17,815.14 is: 24,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.14 : 44,110.17 = 17,815.14 : x
  2. Step 2: Convert to fraction form
    31,963.14/44,110.17 = 17,815.14/x
  3. Step 3: Cross multiply
    31,963.14x = 44,110.17 × 17,815.14
  4. Step 4: Simplify right side
    31,963.14x = 785,828,853.97
  5. Step 5: Solve for x
    x = 785,828,853.97/31,963.14
  6. Step 6: Final answer
    x = 24,585.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.