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Finding the Fourth Proportional to 49,189.19, 67,874.24 and 27,966.11

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Solution

The fourth proportional to 49,189.19, 67,874.24 and 27,966.11 is: 38,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,189.19 : 67,874.24 = 27,966.11 : x
  2. Step 2: Convert to fraction form
    49,189.19/67,874.24 = 27,966.11/x
  3. Step 3: Cross multiply
    49,189.19x = 67,874.24 × 27,966.11
  4. Step 4: Simplify right side
    49,189.19x = 1,898,178,322.18
  5. Step 5: Solve for x
    x = 1,898,178,322.18/49,189.19
  6. Step 6: Final answer
    x = 38,589.34

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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.