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Finding the Fourth Proportional to 127,034.68, 190,560.12 and 33,538

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Solution

The fourth proportional to 127,034.68, 190,560.12 and 33,538 is: 50,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,034.68 : 190,560.12 = 33,538 : x
  2. Step 2: Convert to fraction form
    127,034.68/190,560.12 = 33,538/x
  3. Step 3: Cross multiply
    127,034.68x = 190,560.12 × 33,538
  4. Step 4: Simplify right side
    127,034.68x = 6,391,005,304.56
  5. Step 5: Solve for x
    x = 6,391,005,304.56/127,034.68
  6. Step 6: Final answer
    x = 50,309.14

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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.