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Finding the Fourth Proportional to 53,911.80, 80,867.70 and 32,830.20

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Solution

The fourth proportional to 53,911.80, 80,867.70 and 32,830.20 is: 49,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,911.80 : 80,867.70 = 32,830.20 : x
  2. Step 2: Convert to fraction form
    53,911.80/80,867.70 = 32,830.20/x
  3. Step 3: Cross multiply
    53,911.80x = 80,867.70 × 32,830.20
  4. Step 4: Simplify right side
    53,911.80x = 2,654,902,764.54
  5. Step 5: Solve for x
    x = 2,654,902,764.54/53,911.80
  6. Step 6: Final answer
    x = 49,245.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.