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Finding the Fourth Proportional to 55,187.66, 82,716.65 and 25,542.88

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Solution

The fourth proportional to 55,187.66, 82,716.65 and 25,542.88 is: 38,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,187.66 : 82,716.65 = 25,542.88 : x
  2. Step 2: Convert to fraction form
    55,187.66/82,716.65 = 25,542.88/x
  3. Step 3: Cross multiply
    55,187.66x = 82,716.65 × 25,542.88
  4. Step 4: Simplify right side
    55,187.66x = 2,112,821,464.95
  5. Step 5: Solve for x
    x = 2,112,821,464.95/55,187.66
  6. Step 6: Final answer
    x = 38,284.31

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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.