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Finding the Fourth Proportional to 38,382.54, 52,979.31 and 24,244.80

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Solution

The fourth proportional to 38,382.54, 52,979.31 and 24,244.80 is: 33,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.54 : 52,979.31 = 24,244.80 : x
  2. Step 2: Convert to fraction form
    38,382.54/52,979.31 = 24,244.80/x
  3. Step 3: Cross multiply
    38,382.54x = 52,979.31 × 24,244.80
  4. Step 4: Simplify right side
    38,382.54x = 1,284,472,775.09
  5. Step 5: Solve for x
    x = 1,284,472,775.09/38,382.54
  6. Step 6: Final answer
    x = 33,465.03

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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.