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Finding the Fourth Proportional to 30,416.92, 45,618.05 and 8,230.48

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Solution

The fourth proportional to 30,416.92, 45,618.05 and 8,230.48 is: 12,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.92 : 45,618.05 = 8,230.48 : x
  2. Step 2: Convert to fraction form
    30,416.92/45,618.05 = 8,230.48/x
  3. Step 3: Cross multiply
    30,416.92x = 45,618.05 × 8,230.48
  4. Step 4: Simplify right side
    30,416.92x = 375,458,354.70
  5. Step 5: Solve for x
    x = 375,458,354.70/30,416.92
  6. Step 6: Final answer
    x = 12,343.73

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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.