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Finding the Fourth Proportional to 50,581.97, 69,800.13 and 27,920.40

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Solution

The fourth proportional to 50,581.97, 69,800.13 and 27,920.40 is: 38,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,581.97 : 69,800.13 = 27,920.40 : x
  2. Step 2: Convert to fraction form
    50,581.97/69,800.13 = 27,920.40/x
  3. Step 3: Cross multiply
    50,581.97x = 69,800.13 × 27,920.40
  4. Step 4: Simplify right side
    50,581.97x = 1,948,847,287.90
  5. Step 5: Solve for x
    x = 1,948,847,287.90/50,581.97
  6. Step 6: Final answer
    x = 38,528.50

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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.