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Finding the Fourth Proportional to 75,232.32, 112,819.32 and 40,152.84

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Solution

The fourth proportional to 75,232.32, 112,819.32 and 40,152.84 is: 60,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,232.32 : 112,819.32 = 40,152.84 : x
  2. Step 2: Convert to fraction form
    75,232.32/112,819.32 = 40,152.84/x
  3. Step 3: Cross multiply
    75,232.32x = 112,819.32 × 40,152.84
  4. Step 4: Simplify right side
    75,232.32x = 4,530,016,104.87
  5. Step 5: Solve for x
    x = 4,530,016,104.87/75,232.32
  6. Step 6: Final answer
    x = 60,213.70

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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.