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Finding the Fourth Proportional to 86,833.76, 119,824.76 and 48,586.64

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Solution

The fourth proportional to 86,833.76, 119,824.76 and 48,586.64 is: 67,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,833.76 : 119,824.76 = 48,586.64 : x
  2. Step 2: Convert to fraction form
    86,833.76/119,824.76 = 48,586.64/x
  3. Step 3: Cross multiply
    86,833.76x = 119,824.76 × 48,586.64
  4. Step 4: Simplify right side
    86,833.76x = 5,821,882,234.27
  5. Step 5: Solve for x
    x = 5,821,882,234.27/86,833.76
  6. Step 6: Final answer
    x = 67,046.30

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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.