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Finding the Fourth Proportional to 67,070.32, 100,452.30 and 32,034.76

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Solution

The fourth proportional to 67,070.32, 100,452.30 and 32,034.76 is: 47,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,070.32 : 100,452.30 = 32,034.76 : x
  2. Step 2: Convert to fraction form
    67,070.32/100,452.30 = 32,034.76/x
  3. Step 3: Cross multiply
    67,070.32x = 100,452.30 × 32,034.76
  4. Step 4: Simplify right side
    67,070.32x = 3,217,965,321.95
  5. Step 5: Solve for x
    x = 3,217,965,321.95/67,070.32
  6. Step 6: Final answer
    x = 47,978.98

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1.5x scale

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.