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Finding the Fourth Proportional to 32,178.80, 48,397.80 and 28,809.20

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Solution

The fourth proportional to 32,178.80, 48,397.80 and 28,809.20 is: 43,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.80 : 48,397.80 = 28,809.20 : x
  2. Step 2: Convert to fraction form
    32,178.80/48,397.80 = 28,809.20/x
  3. Step 3: Cross multiply
    32,178.80x = 48,397.80 × 28,809.20
  4. Step 4: Simplify right side
    32,178.80x = 1,394,301,899.76
  5. Step 5: Solve for x
    x = 1,394,301,899.76/32,178.80
  6. Step 6: Final answer
    x = 43,329.83

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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.