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Finding the Fourth Proportional to 32,188.80, 48,412.80 and 28,819.20

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Solution

The fourth proportional to 32,188.80, 48,412.80 and 28,819.20 is: 43,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.80 : 48,412.80 = 28,819.20 : x
  2. Step 2: Convert to fraction form
    32,188.80/48,412.80 = 28,819.20/x
  3. Step 3: Cross multiply
    32,188.80x = 48,412.80 × 28,819.20
  4. Step 4: Simplify right side
    32,188.80x = 1,395,218,165.76
  5. Step 5: Solve for x
    x = 1,395,218,165.76/32,188.80
  6. Step 6: Final answer
    x = 43,344.83

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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.