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Finding the Fourth Proportional to 73,920.53, 110,879.17 and 31,828.61

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Solution

The fourth proportional to 73,920.53, 110,879.17 and 31,828.61 is: 47,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920.53 : 110,879.17 = 31,828.61 : x
  2. Step 2: Convert to fraction form
    73,920.53/110,879.17 = 31,828.61/x
  3. Step 3: Cross multiply
    73,920.53x = 110,879.17 × 31,828.61
  4. Step 4: Simplify right side
    73,920.53x = 3,529,129,859.05
  5. Step 5: Solve for x
    x = 3,529,129,859.05/73,920.53
  6. Step 6: Final answer
    x = 47,742.22

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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.