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Finding the Fourth Proportional to 31,861.80, 43,969.02 and 17,714.52

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Solution

The fourth proportional to 31,861.80, 43,969.02 and 17,714.52 is: 24,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.80 : 43,969.02 = 17,714.52 : x
  2. Step 2: Convert to fraction form
    31,861.80/43,969.02 = 17,714.52/x
  3. Step 3: Cross multiply
    31,861.80x = 43,969.02 × 17,714.52
  4. Step 4: Simplify right side
    31,861.80x = 778,890,084.17
  5. Step 5: Solve for x
    x = 778,890,084.17/31,861.80
  6. Step 6: Final answer
    x = 24,445.89

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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.