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Finding the Fourth Proportional to 87,138.51, 120,251.21 and 49,412.76

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Solution

The fourth proportional to 87,138.51, 120,251.21 and 49,412.76 is: 68,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,138.51 : 120,251.21 = 49,412.76 : x
  2. Step 2: Convert to fraction form
    87,138.51/120,251.21 = 49,412.76/x
  3. Step 3: Cross multiply
    87,138.51x = 120,251.21 × 49,412.76
  4. Step 4: Simplify right side
    87,138.51x = 5,941,943,932.38
  5. Step 5: Solve for x
    x = 5,941,943,932.38/87,138.51
  6. Step 6: Final answer
    x = 68,189.64

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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.