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Finding the Fourth Proportional to 36,376.80, 54,493.20 and 32,047.20

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Solution

The fourth proportional to 36,376.80, 54,493.20 and 32,047.20 is: 48,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,376.80 : 54,493.20 = 32,047.20 : x
  2. Step 2: Convert to fraction form
    36,376.80/54,493.20 = 32,047.20/x
  3. Step 3: Cross multiply
    36,376.80x = 54,493.20 × 32,047.20
  4. Step 4: Simplify right side
    36,376.80x = 1,746,354,479.04
  5. Step 5: Solve for x
    x = 1,746,354,479.04/36,376.80
  6. Step 6: Final answer
    x = 48,007.37

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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.