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Finding the Fourth Proportional to 49,097, 67,753.86 and 26,741

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Solution

The fourth proportional to 49,097, 67,753.86 and 26,741 is: 36,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097 : 67,753.86 = 26,741 : x
  2. Step 2: Convert to fraction form
    49,097/67,753.86 = 26,741/x
  3. Step 3: Cross multiply
    49,097x = 67,753.86 × 26,741
  4. Step 4: Simplify right side
    49,097x = 1,811,805,970.26
  5. Step 5: Solve for x
    x = 1,811,805,970.26/49,097
  6. Step 6: Final answer
    x = 36,902.58

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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.