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Finding the Fourth Proportional to 83,704.80, 125,576.94 and 27,549.32

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Solution

The fourth proportional to 83,704.80, 125,576.94 and 27,549.32 is: 41,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.80 : 125,576.94 = 27,549.32 : x
  2. Step 2: Convert to fraction form
    83,704.80/125,576.94 = 27,549.32/x
  3. Step 3: Cross multiply
    83,704.80x = 125,576.94 × 27,549.32
  4. Step 4: Simplify right side
    83,704.80x = 3,459,559,304.68
  5. Step 5: Solve for x
    x = 3,459,559,304.68/83,704.80
  6. Step 6: Final answer
    x = 41,330.48

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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.