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Finding the Fourth Proportional to 49,187.09, 67,872.03 and 27,674.19

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Solution

The fourth proportional to 49,187.09, 67,872.03 and 27,674.19 is: 38,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,187.09 : 67,872.03 = 27,674.19 : x
  2. Step 2: Convert to fraction form
    49,187.09/67,872.03 = 27,674.19/x
  3. Step 3: Cross multiply
    49,187.09x = 67,872.03 × 27,674.19
  4. Step 4: Simplify right side
    49,187.09x = 1,878,303,350.13
  5. Step 5: Solve for x
    x = 1,878,303,350.13/49,187.09
  6. Step 6: Final answer
    x = 38,186.92

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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.