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Finding the Fourth Proportional to 49,190.65, 67,866.06 and 27,676.93

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Solution

The fourth proportional to 49,190.65, 67,866.06 and 27,676.93 is: 38,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,190.65 : 67,866.06 = 27,676.93 : x
  2. Step 2: Convert to fraction form
    49,190.65/67,866.06 = 27,676.93/x
  3. Step 3: Cross multiply
    49,190.65x = 67,866.06 × 27,676.93
  4. Step 4: Simplify right side
    49,190.65x = 1,878,324,192.00
  5. Step 5: Solve for x
    x = 1,878,324,192.00/49,190.65
  6. Step 6: Final answer
    x = 38,184.58

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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.