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Finding the Fourth Proportional to 49,733, 68,631.56 and 27,377

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Solution

The fourth proportional to 49,733, 68,631.56 and 27,377 is: 37,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,733 : 68,631.56 = 27,377 : x
  2. Step 2: Convert to fraction form
    49,733/68,631.56 = 27,377/x
  3. Step 3: Cross multiply
    49,733x = 68,631.56 × 27,377
  4. Step 4: Simplify right side
    49,733x = 1,878,926,218.12
  5. Step 5: Solve for x
    x = 1,878,926,218.12/49,733
  6. Step 6: Final answer
    x = 37,780.27

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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.