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Finding the Fourth Proportional to 32,192.78, 48,289.17 and 8,819.42

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Solution

The fourth proportional to 32,192.78, 48,289.17 and 8,819.42 is: 13,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.78 : 48,289.17 = 8,819.42 : x
  2. Step 2: Convert to fraction form
    32,192.78/48,289.17 = 8,819.42/x
  3. Step 3: Cross multiply
    32,192.78x = 48,289.17 × 8,819.42
  4. Step 4: Simplify right side
    32,192.78x = 425,882,471.68
  5. Step 5: Solve for x
    x = 425,882,471.68/32,192.78
  6. Step 6: Final answer
    x = 13,229.13

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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.