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Finding the Fourth Proportional to 32,212.80, 48,448.80 and 28,843.20

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Solution

The fourth proportional to 32,212.80, 48,448.80 and 28,843.20 is: 43,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.80 : 48,448.80 = 28,843.20 : x
  2. Step 2: Convert to fraction form
    32,212.80/48,448.80 = 28,843.20/x
  3. Step 3: Cross multiply
    32,212.80x = 48,448.80 × 28,843.20
  4. Step 4: Simplify right side
    32,212.80x = 1,397,418,428.16
  5. Step 5: Solve for x
    x = 1,397,418,428.16/32,212.80
  6. Step 6: Final answer
    x = 43,380.84

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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.