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Finding the Fourth Proportional to 52,321.80, 78,480.96 and 22,739.67

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Solution

The fourth proportional to 52,321.80, 78,480.96 and 22,739.67 is: 34,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,321.80 : 78,480.96 = 22,739.67 : x
  2. Step 2: Convert to fraction form
    52,321.80/78,480.96 = 22,739.67/x
  3. Step 3: Cross multiply
    52,321.80x = 78,480.96 × 22,739.67
  4. Step 4: Simplify right side
    52,321.80x = 1,784,631,131.68
  5. Step 5: Solve for x
    x = 1,784,631,131.68/52,321.80
  6. Step 6: Final answer
    x = 34,108.75

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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.