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Finding the Fourth Proportional to 51,121.67, 70,549.46 and 27,839.63

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Solution

The fourth proportional to 51,121.67, 70,549.46 and 27,839.63 is: 38,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,121.67 : 70,549.46 = 27,839.63 : x
  2. Step 2: Convert to fraction form
    51,121.67/70,549.46 = 27,839.63/x
  3. Step 3: Cross multiply
    51,121.67x = 70,549.46 × 27,839.63
  4. Step 4: Simplify right side
    51,121.67x = 1,964,070,723.90
  5. Step 5: Solve for x
    x = 1,964,070,723.90/51,121.67
  6. Step 6: Final answer
    x = 38,419.54

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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.