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Finding the Fourth Proportional to 54,503.20, 81,646.80 and 48,008.80

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Solution

The fourth proportional to 54,503.20, 81,646.80 and 48,008.80 is: 71,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,503.20 : 81,646.80 = 48,008.80 : x
  2. Step 2: Convert to fraction form
    54,503.20/81,646.80 = 48,008.80/x
  3. Step 3: Cross multiply
    54,503.20x = 81,646.80 × 48,008.80
  4. Step 4: Simplify right side
    54,503.20x = 3,919,764,891.84
  5. Step 5: Solve for x
    x = 3,919,764,891.84/54,503.20
  6. Step 6: Final answer
    x = 71,918.07

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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.