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Finding the Fourth Proportional to 86,499.96, 119,367.22 and 50,713.80

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Solution

The fourth proportional to 86,499.96, 119,367.22 and 50,713.80 is: 69,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,499.96 : 119,367.22 = 50,713.80 : x
  2. Step 2: Convert to fraction form
    86,499.96/119,367.22 = 50,713.80/x
  3. Step 3: Cross multiply
    86,499.96x = 119,367.22 × 50,713.80
  4. Step 4: Simplify right side
    86,499.96x = 6,053,565,321.64
  5. Step 5: Solve for x
    x = 6,053,565,321.64/86,499.96
  6. Step 6: Final answer
    x = 69,983.45

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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.