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Finding the Fourth Proportional to 67,694.32, 101,557.68 and 20,947.20

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Solution

The fourth proportional to 67,694.32, 101,557.68 and 20,947.20 is: 31,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,694.32 : 101,557.68 = 20,947.20 : x
  2. Step 2: Convert to fraction form
    67,694.32/101,557.68 = 20,947.20/x
  3. Step 3: Cross multiply
    67,694.32x = 101,557.68 × 20,947.20
  4. Step 4: Simplify right side
    67,694.32x = 2,127,349,034.50
  5. Step 5: Solve for x
    x = 2,127,349,034.50/67,694.32
  6. Step 6: Final answer
    x = 31,425.81

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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.