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Finding the Fourth Proportional to 83,218.80, 124,828.20 and 33,306.60

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Solution

The fourth proportional to 83,218.80, 124,828.20 and 33,306.60 is: 49,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.80 : 124,828.20 = 33,306.60 : x
  2. Step 2: Convert to fraction form
    83,218.80/124,828.20 = 33,306.60/x
  3. Step 3: Cross multiply
    83,218.80x = 124,828.20 × 33,306.60
  4. Step 4: Simplify right side
    83,218.80x = 4,157,602,926.12
  5. Step 5: Solve for x
    x = 4,157,602,926.12/83,218.80
  6. Step 6: Final answer
    x = 49,959.90

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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.