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Finding the Fourth Proportional to 113,205.66, 169,766.10 and 33,227.16

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Solution

The fourth proportional to 113,205.66, 169,766.10 and 33,227.16 is: 49,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,205.66 : 169,766.10 = 33,227.16 : x
  2. Step 2: Convert to fraction form
    113,205.66/169,766.10 = 33,227.16/x
  3. Step 3: Cross multiply
    113,205.66x = 169,766.10 × 33,227.16
  4. Step 4: Simplify right side
    113,205.66x = 5,640,845,367.28
  5. Step 5: Solve for x
    x = 5,640,845,367.28/113,205.66
  6. Step 6: Final answer
    x = 49,828.30

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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.