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Finding the Fourth Proportional to 32,821.80, 49,159.80 and 28,447.80

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Solution

The fourth proportional to 32,821.80, 49,159.80 and 28,447.80 is: 42,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.80 : 49,159.80 = 28,447.80 : x
  2. Step 2: Convert to fraction form
    32,821.80/49,159.80 = 28,447.80/x
  3. Step 3: Cross multiply
    32,821.80x = 49,159.80 × 28,447.80
  4. Step 4: Simplify right side
    32,821.80x = 1,398,488,158.44
  5. Step 5: Solve for x
    x = 1,398,488,158.44/32,821.80
  6. Step 6: Final answer
    x = 42,608.52

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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.