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Finding the Fourth Proportional to 159,584.24, 239,367.72 and 48,776.24

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Solution

The fourth proportional to 159,584.24, 239,367.72 and 48,776.24 is: 73,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,584.24 : 239,367.72 = 48,776.24 : x
  2. Step 2: Convert to fraction form
    159,584.24/239,367.72 = 48,776.24/x
  3. Step 3: Cross multiply
    159,584.24x = 239,367.72 × 48,776.24
  4. Step 4: Simplify right side
    159,584.24x = 11,675,457,358.97
  5. Step 5: Solve for x
    x = 11,675,457,358.97/159,584.24
  6. Step 6: Final answer
    x = 73,161.72

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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.