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Finding the Fourth Proportional to 72,839.80, 100,520.82 and 41,009.86

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Solution

The fourth proportional to 72,839.80, 100,520.82 and 41,009.86 is: 56,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,839.80 : 100,520.82 = 41,009.86 : x
  2. Step 2: Convert to fraction form
    72,839.80/100,520.82 = 41,009.86/x
  3. Step 3: Cross multiply
    72,839.80x = 100,520.82 × 41,009.86
  4. Step 4: Simplify right side
    72,839.80x = 4,122,344,755.29
  5. Step 5: Solve for x
    x = 4,122,344,755.29/72,839.80
  6. Step 6: Final answer
    x = 56,594.67

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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.