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Finding the Fourth Proportional to 49,758, 68,666.52 and 27,402.48

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Solution

The fourth proportional to 49,758, 68,666.52 and 27,402.48 is: 37,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,758 : 68,666.52 = 27,402.48 : x
  2. Step 2: Convert to fraction form
    49,758/68,666.52 = 27,402.48/x
  3. Step 3: Cross multiply
    49,758x = 68,666.52 × 27,402.48
  4. Step 4: Simplify right side
    49,758x = 1,881,632,940.97
  5. Step 5: Solve for x
    x = 1,881,632,940.97/49,758
  6. Step 6: Final answer
    x = 37,815.69

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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.