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Finding the Fourth Proportional to 49,926, 68,897.94 and 27,570

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Solution

The fourth proportional to 49,926, 68,897.94 and 27,570 is: 38,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,926 : 68,897.94 = 27,570 : x
  2. Step 2: Convert to fraction form
    49,926/68,897.94 = 27,570/x
  3. Step 3: Cross multiply
    49,926x = 68,897.94 × 27,570
  4. Step 4: Simplify right side
    49,926x = 1,899,516,205.80
  5. Step 5: Solve for x
    x = 1,899,516,205.80/49,926
  6. Step 6: Final answer
    x = 38,046.63

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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.