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Finding the Fourth Proportional to 70,679.52, 105,932.95 and 33,189.55

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Solution

The fourth proportional to 70,679.52, 105,932.95 and 33,189.55 is: 49,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,679.52 : 105,932.95 = 33,189.55 : x
  2. Step 2: Convert to fraction form
    70,679.52/105,932.95 = 33,189.55/x
  3. Step 3: Cross multiply
    70,679.52x = 105,932.95 × 33,189.55
  4. Step 4: Simplify right side
    70,679.52x = 3,515,866,592.87
  5. Step 5: Solve for x
    x = 3,515,866,592.87/70,679.52
  6. Step 6: Final answer
    x = 49,743.78

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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.