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Finding the Fourth Proportional to 67,298.13, 100,948.82 and 32,199.21

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Solution

The fourth proportional to 67,298.13, 100,948.82 and 32,199.21 is: 48,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298.13 : 100,948.82 = 32,199.21 : x
  2. Step 2: Convert to fraction form
    67,298.13/100,948.82 = 32,199.21/x
  3. Step 3: Cross multiply
    67,298.13x = 100,948.82 × 32,199.21
  4. Step 4: Simplify right side
    67,298.13x = 3,250,472,093.44
  5. Step 5: Solve for x
    x = 3,250,472,093.44/67,298.13
  6. Step 6: Final answer
    x = 48,299.59

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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.