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Finding the Fourth Proportional to 49,955.38, 68,938.91 and 27,293.74

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Solution

The fourth proportional to 49,955.38, 68,938.91 and 27,293.74 is: 37,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,955.38 : 68,938.91 = 27,293.74 : x
  2. Step 2: Convert to fraction form
    49,955.38/68,938.91 = 27,293.74/x
  3. Step 3: Cross multiply
    49,955.38x = 68,938.91 × 27,293.74
  4. Step 4: Simplify right side
    49,955.38x = 1,881,600,548.95
  5. Step 5: Solve for x
    x = 1,881,600,548.95/49,955.38
  6. Step 6: Final answer
    x = 37,665.62

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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.