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Finding the Fourth Proportional to 49,727, 68,624.34 and 27,371

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Solution

The fourth proportional to 49,727, 68,624.34 and 27,371 is: 37,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,727 : 68,624.34 = 27,371 : x
  2. Step 2: Convert to fraction form
    49,727/68,624.34 = 27,371/x
  3. Step 3: Cross multiply
    49,727x = 68,624.34 × 27,371
  4. Step 4: Simplify right side
    49,727x = 1,878,316,810.14
  5. Step 5: Solve for x
    x = 1,878,316,810.14/49,727
  6. Step 6: Final answer
    x = 37,772.57

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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.