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Finding the Fourth Proportional to 32,409.44, 48,614.16 and 7,785.44

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Solution

The fourth proportional to 32,409.44, 48,614.16 and 7,785.44 is: 11,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.44 : 48,614.16 = 7,785.44 : x
  2. Step 2: Convert to fraction form
    32,409.44/48,614.16 = 7,785.44/x
  3. Step 3: Cross multiply
    32,409.44x = 48,614.16 × 7,785.44
  4. Step 4: Simplify right side
    32,409.44x = 378,482,586.90
  5. Step 5: Solve for x
    x = 378,482,586.90/32,409.44
  6. Step 6: Final answer
    x = 11,678.16

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Similar ratio
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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.