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Finding the Fourth Proportional to 86,467.56, 119,343.78 and 54,616.20

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Solution

The fourth proportional to 86,467.56, 119,343.78 and 54,616.20 is: 75,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,467.56 : 119,343.78 = 54,616.20 : x
  2. Step 2: Convert to fraction form
    86,467.56/119,343.78 = 54,616.20/x
  3. Step 3: Cross multiply
    86,467.56x = 119,343.78 × 54,616.20
  4. Step 4: Simplify right side
    86,467.56x = 6,518,103,757.24
  5. Step 5: Solve for x
    x = 6,518,103,757.24/86,467.56
  6. Step 6: Final answer
    x = 75,382.07

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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.