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Finding the Fourth Proportional to 73,166.34, 109,738.07 and 23,239.87

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Solution

The fourth proportional to 73,166.34, 109,738.07 and 23,239.87 is: 34,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166.34 : 109,738.07 = 23,239.87 : x
  2. Step 2: Convert to fraction form
    73,166.34/109,738.07 = 23,239.87/x
  3. Step 3: Cross multiply
    73,166.34x = 109,738.07 × 23,239.87
  4. Step 4: Simplify right side
    73,166.34x = 2,550,298,480.85
  5. Step 5: Solve for x
    x = 2,550,298,480.85/73,166.34
  6. Step 6: Final answer
    x = 34,856.17

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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.