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Finding the Fourth Proportional to 49,495, 68,306.36 and 27,139

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Solution

The fourth proportional to 49,495, 68,306.36 and 27,139 is: 37,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,495 : 68,306.36 = 27,139 : x
  2. Step 2: Convert to fraction form
    49,495/68,306.36 = 27,139/x
  3. Step 3: Cross multiply
    49,495x = 68,306.36 × 27,139
  4. Step 4: Simplify right side
    49,495x = 1,853,766,304.04
  5. Step 5: Solve for x
    x = 1,853,766,304.04/49,495
  6. Step 6: Final answer
    x = 37,453.61

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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.