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Finding the Fourth Proportional to 32,409.53, 48,614.31 and 7,785.53

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Solution

The fourth proportional to 32,409.53, 48,614.31 and 7,785.53 is: 11,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.53 : 48,614.31 = 7,785.53 : x
  2. Step 2: Convert to fraction form
    32,409.53/48,614.31 = 7,785.53/x
  3. Step 3: Cross multiply
    32,409.53x = 48,614.31 × 7,785.53
  4. Step 4: Simplify right side
    32,409.53x = 378,488,168.93
  5. Step 5: Solve for x
    x = 378,488,168.93/32,409.53
  6. Step 6: Final answer
    x = 11,678.30

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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.