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Finding the Fourth Proportional to 49,013.48, 67,654.02 and 27,806.84

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Solution

The fourth proportional to 49,013.48, 67,654.02 and 27,806.84 is: 38,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,013.48 : 67,654.02 = 27,806.84 : x
  2. Step 2: Convert to fraction form
    49,013.48/67,654.02 = 27,806.84/x
  3. Step 3: Cross multiply
    49,013.48x = 67,654.02 × 27,806.84
  4. Step 4: Simplify right side
    49,013.48x = 1,881,244,509.50
  5. Step 5: Solve for x
    x = 1,881,244,509.50/49,013.48
  6. Step 6: Final answer
    x = 38,382.19

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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.