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Finding the Fourth Proportional to 49,188.37, 67,871.48 and 27,675.13

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Solution

The fourth proportional to 49,188.37, 67,871.48 and 27,675.13 is: 38,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188.37 : 67,871.48 = 27,675.13 : x
  2. Step 2: Convert to fraction form
    49,188.37/67,871.48 = 27,675.13/x
  3. Step 3: Cross multiply
    49,188.37x = 67,871.48 × 27,675.13
  4. Step 4: Simplify right side
    49,188.37x = 1,878,352,032.29
  5. Step 5: Solve for x
    x = 1,878,352,032.29/49,188.37
  6. Step 6: Final answer
    x = 38,186.91

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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.