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Finding the Fourth Proportional to 48,382.80, 66,770.10 and 28,236.48

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Solution

The fourth proportional to 48,382.80, 66,770.10 and 28,236.48 is: 38,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,382.80 : 66,770.10 = 28,236.48 : x
  2. Step 2: Convert to fraction form
    48,382.80/66,770.10 = 28,236.48/x
  3. Step 3: Cross multiply
    48,382.80x = 66,770.10 × 28,236.48
  4. Step 4: Simplify right side
    48,382.80x = 1,885,352,593.25
  5. Step 5: Solve for x
    x = 1,885,352,593.25/48,382.80
  6. Step 6: Final answer
    x = 38,967.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.