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Finding the Fourth Proportional to 86,508.54, 119,314.62 and 54,665.82

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Solution

The fourth proportional to 86,508.54, 119,314.62 and 54,665.82 is: 75,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,508.54 : 119,314.62 = 54,665.82 : x
  2. Step 2: Convert to fraction form
    86,508.54/119,314.62 = 54,665.82/x
  3. Step 3: Cross multiply
    86,508.54x = 119,314.62 × 54,665.82
  4. Step 4: Simplify right side
    86,508.54x = 6,522,431,540.29
  5. Step 5: Solve for x
    x = 6,522,431,540.29/86,508.54
  6. Step 6: Final answer
    x = 75,396.39

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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.