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Finding the Fourth Proportional to 31,654.80, 43,701.12 and 21,060

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Solution

The fourth proportional to 31,654.80, 43,701.12 and 21,060 is: 29,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,654.80 : 43,701.12 = 21,060 : x
  2. Step 2: Convert to fraction form
    31,654.80/43,701.12 = 21,060/x
  3. Step 3: Cross multiply
    31,654.80x = 43,701.12 × 21,060
  4. Step 4: Simplify right side
    31,654.80x = 920,345,587.20
  5. Step 5: Solve for x
    x = 920,345,587.20/31,654.80
  6. Step 6: Final answer
    x = 29,074.44

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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.