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Finding the Fourth Proportional to 86,486.82, 119,351.97 and 48,760.98

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Solution

The fourth proportional to 86,486.82, 119,351.97 and 48,760.98 is: 67,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,486.82 : 119,351.97 = 48,760.98 : x
  2. Step 2: Convert to fraction form
    86,486.82/119,351.97 = 48,760.98/x
  3. Step 3: Cross multiply
    86,486.82x = 119,351.97 × 48,760.98
  4. Step 4: Simplify right side
    86,486.82x = 5,819,719,022.13
  5. Step 5: Solve for x
    x = 5,819,719,022.13/86,486.82
  6. Step 6: Final answer
    x = 67,290.24

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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.