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Finding the Fourth Proportional to 83,044.65, 124,506.63 and 33,109.77

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Solution

The fourth proportional to 83,044.65, 124,506.63 and 33,109.77 is: 49,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.65 : 124,506.63 = 33,109.77 : x
  2. Step 2: Convert to fraction form
    83,044.65/124,506.63 = 33,109.77/x
  3. Step 3: Cross multiply
    83,044.65x = 124,506.63 × 33,109.77
  4. Step 4: Simplify right side
    83,044.65x = 4,122,385,882.78
  5. Step 5: Solve for x
    x = 4,122,385,882.78/83,044.65
  6. Step 6: Final answer
    x = 49,640.60

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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.