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Finding the Fourth Proportional to 87,104.96, 120,204 and 47,360.96

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Solution

The fourth proportional to 87,104.96, 120,204 and 47,360.96 is: 65,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,104.96 : 120,204 = 47,360.96 : x
  2. Step 2: Convert to fraction form
    87,104.96/120,204 = 47,360.96/x
  3. Step 3: Cross multiply
    87,104.96x = 120,204 × 47,360.96
  4. Step 4: Simplify right side
    87,104.96x = 5,692,976,835.84
  5. Step 5: Solve for x
    x = 5,692,976,835.84/87,104.96
  6. Step 6: Final answer
    x = 65,357.67

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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.