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Finding the Fourth Proportional to 86,722.54, 119,689.80 and 50,932.12

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Solution

The fourth proportional to 86,722.54, 119,689.80 and 50,932.12 is: 70,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,722.54 : 119,689.80 = 50,932.12 : x
  2. Step 2: Convert to fraction form
    86,722.54/119,689.80 = 50,932.12/x
  3. Step 3: Cross multiply
    86,722.54x = 119,689.80 × 50,932.12
  4. Step 4: Simplify right side
    86,722.54x = 6,096,055,256.38
  5. Step 5: Solve for x
    x = 6,096,055,256.38/86,722.54
  6. Step 6: Final answer
    x = 70,293.78

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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.