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Finding the Fourth Proportional to 34,085.80, 47,044.14 and 21,982.88

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Solution

The fourth proportional to 34,085.80, 47,044.14 and 21,982.88 is: 30,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.80 : 47,044.14 = 21,982.88 : x
  2. Step 2: Convert to fraction form
    34,085.80/47,044.14 = 21,982.88/x
  3. Step 3: Cross multiply
    34,085.80x = 47,044.14 × 21,982.88
  4. Step 4: Simplify right side
    34,085.80x = 1,034,165,449.10
  5. Step 5: Solve for x
    x = 1,034,165,449.10/34,085.80
  6. Step 6: Final answer
    x = 30,340.07

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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.