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Finding the Fourth Proportional to 32,409.20, 48,613.80 and 7,785.20

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Solution

The fourth proportional to 32,409.20, 48,613.80 and 7,785.20 is: 11,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.20 : 48,613.80 = 7,785.20 : x
  2. Step 2: Convert to fraction form
    32,409.20/48,613.80 = 7,785.20/x
  3. Step 3: Cross multiply
    32,409.20x = 48,613.80 × 7,785.20
  4. Step 4: Simplify right side
    32,409.20x = 378,467,912.69
  5. Step 5: Solve for x
    x = 378,467,912.69/32,409.20
  6. Step 6: Final answer
    x = 11,677.79

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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.