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Finding the Fourth Proportional to 49,940, 68,917.74 and 27,584

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Solution

The fourth proportional to 49,940, 68,917.74 and 27,584 is: 38,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,940 : 68,917.74 = 27,584 : x
  2. Step 2: Convert to fraction form
    49,940/68,917.74 = 27,584/x
  3. Step 3: Cross multiply
    49,940x = 68,917.74 × 27,584
  4. Step 4: Simplify right side
    49,940x = 1,901,026,940.16
  5. Step 5: Solve for x
    x = 1,901,026,940.16/49,940
  6. Step 6: Final answer
    x = 38,066.22

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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.