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Finding the Fourth Proportional to 55,910.50, 83,821.64 and 27,815.22

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Solution

The fourth proportional to 55,910.50, 83,821.64 and 27,815.22 is: 41,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,910.50 : 83,821.64 = 27,815.22 : x
  2. Step 2: Convert to fraction form
    55,910.50/83,821.64 = 27,815.22/x
  3. Step 3: Cross multiply
    55,910.50x = 83,821.64 × 27,815.22
  4. Step 4: Simplify right side
    55,910.50x = 2,331,517,454.03
  5. Step 5: Solve for x
    x = 2,331,517,454.03/55,910.50
  6. Step 6: Final answer
    x = 41,700.88

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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.