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Finding the Fourth Proportional to 27,839.52, 41,754.96 and 8,116.02

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Solution

The fourth proportional to 27,839.52, 41,754.96 and 8,116.02 is: 12,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,839.52 : 41,754.96 = 8,116.02 : x
  2. Step 2: Convert to fraction form
    27,839.52/41,754.96 = 8,116.02/x
  3. Step 3: Cross multiply
    27,839.52x = 41,754.96 × 8,116.02
  4. Step 4: Simplify right side
    27,839.52x = 338,884,090.46
  5. Step 5: Solve for x
    x = 338,884,090.46/27,839.52
  6. Step 6: Final answer
    x = 12,172.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.