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Finding the Fourth Proportional to 83,046.97, 124,510.10 and 33,112.09

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Solution

The fourth proportional to 83,046.97, 124,510.10 and 33,112.09 is: 49,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046.97 : 124,510.10 = 33,112.09 : x
  2. Step 2: Convert to fraction form
    83,046.97/124,510.10 = 33,112.09/x
  3. Step 3: Cross multiply
    83,046.97x = 124,510.10 × 33,112.09
  4. Step 4: Simplify right side
    83,046.97x = 4,122,789,627.19
  5. Step 5: Solve for x
    x = 4,122,789,627.19/83,046.97
  6. Step 6: Final answer
    x = 49,644.07

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1.5x scale

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.