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Finding the Fourth Proportional to 31,853.80, 43,842.18 and 28,052.11

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Solution

The fourth proportional to 31,853.80, 43,842.18 and 28,052.11 is: 38,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.80 : 43,842.18 = 28,052.11 : x
  2. Step 2: Convert to fraction form
    31,853.80/43,842.18 = 28,052.11/x
  3. Step 3: Cross multiply
    31,853.80x = 43,842.18 × 28,052.11
  4. Step 4: Simplify right side
    31,853.80x = 1,229,865,656.00
  5. Step 5: Solve for x
    x = 1,229,865,656.00/31,853.80
  6. Step 6: Final answer
    x = 38,609.70

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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.