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Finding the Fourth Proportional to 159,532.24, 239,299.32 and 48,724.24

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Solution

The fourth proportional to 159,532.24, 239,299.32 and 48,724.24 is: 73,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,532.24 : 239,299.32 = 48,724.24 : x
  2. Step 2: Convert to fraction form
    159,532.24/239,299.32 = 48,724.24/x
  3. Step 3: Cross multiply
    159,532.24x = 239,299.32 × 48,724.24
  4. Step 4: Simplify right side
    159,532.24x = 11,659,677,499.52
  5. Step 5: Solve for x
    x = 11,659,677,499.52/159,532.24
  6. Step 6: Final answer
    x = 73,086.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.