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Finding the Fourth Proportional to 49,158, 67,843.80 and 27,940.46

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Solution

The fourth proportional to 49,158, 67,843.80 and 27,940.46 is: 38,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158 : 67,843.80 = 27,940.46 : x
  2. Step 2: Convert to fraction form
    49,158/67,843.80 = 27,940.46/x
  3. Step 3: Cross multiply
    49,158x = 67,843.80 × 27,940.46
  4. Step 4: Simplify right side
    49,158x = 1,895,586,640.93
  5. Step 5: Solve for x
    x = 1,895,586,640.93/49,158
  6. Step 6: Final answer
    x = 38,561.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.