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Finding the Fourth Proportional to 67,134.65, 100,701.97 and 31,967.69

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Solution

The fourth proportional to 67,134.65, 100,701.97 and 31,967.69 is: 47,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,134.65 : 100,701.97 = 31,967.69 : x
  2. Step 2: Convert to fraction form
    67,134.65/100,701.97 = 31,967.69/x
  3. Step 3: Cross multiply
    67,134.65x = 100,701.97 × 31,967.69
  4. Step 4: Simplify right side
    67,134.65x = 3,219,208,775.92
  5. Step 5: Solve for x
    x = 3,219,208,775.92/67,134.65
  6. Step 6: Final answer
    x = 47,951.53

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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.