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Finding the Fourth Proportional to 39,382.80, 54,348.96 and 21,478.46

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Solution

The fourth proportional to 39,382.80, 54,348.96 and 21,478.46 is: 29,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382.80 : 54,348.96 = 21,478.46 : x
  2. Step 2: Convert to fraction form
    39,382.80/54,348.96 = 21,478.46/x
  3. Step 3: Cross multiply
    39,382.80x = 54,348.96 × 21,478.46
  4. Step 4: Simplify right side
    39,382.80x = 1,167,331,856.01
  5. Step 5: Solve for x
    x = 1,167,331,856.01/39,382.80
  6. Step 6: Final answer
    x = 29,640.65

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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.