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Finding the Fourth Proportional to 101,304.76, 151,951.38 and 27,427

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Solution

The fourth proportional to 101,304.76, 151,951.38 and 27,427 is: 41,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,304.76 : 151,951.38 = 27,427 : x
  2. Step 2: Convert to fraction form
    101,304.76/151,951.38 = 27,427/x
  3. Step 3: Cross multiply
    101,304.76x = 151,951.38 × 27,427
  4. Step 4: Simplify right side
    101,304.76x = 4,167,570,499.26
  5. Step 5: Solve for x
    x = 4,167,570,499.26/101,304.76
  6. Step 6: Final answer
    x = 41,138.94

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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.