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Finding the Fourth Proportional to 81,291.83, 121,959.66 and 33,891.17

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Solution

The fourth proportional to 81,291.83, 121,959.66 and 33,891.17 is: 50,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,291.83 : 121,959.66 = 33,891.17 : x
  2. Step 2: Convert to fraction form
    81,291.83/121,959.66 = 33,891.17/x
  3. Step 3: Cross multiply
    81,291.83x = 121,959.66 × 33,891.17
  4. Step 4: Simplify right side
    81,291.83x = 4,133,355,570.20
  5. Step 5: Solve for x
    x = 4,133,355,570.20/81,291.83
  6. Step 6: Final answer
    x = 50,845.89

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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.