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Finding the Fourth Proportional to 31,681.62, 43,680.88 and 20,331.08

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Solution

The fourth proportional to 31,681.62, 43,680.88 and 20,331.08 is: 28,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.62 : 43,680.88 = 20,331.08 : x
  2. Step 2: Convert to fraction form
    31,681.62/43,680.88 = 20,331.08/x
  3. Step 3: Cross multiply
    31,681.62x = 43,680.88 × 20,331.08
  4. Step 4: Simplify right side
    31,681.62x = 888,079,465.75
  5. Step 5: Solve for x
    x = 888,079,465.75/31,681.62
  6. Step 6: Final answer
    x = 28,031.38

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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.