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Finding the Fourth Proportional to 32,759.22, 49,138.76 and 8,135.22

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Solution

The fourth proportional to 32,759.22, 49,138.76 and 8,135.22 is: 12,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759.22 : 49,138.76 = 8,135.22 : x
  2. Step 2: Convert to fraction form
    32,759.22/49,138.76 = 8,135.22/x
  3. Step 3: Cross multiply
    32,759.22x = 49,138.76 × 8,135.22
  4. Step 4: Simplify right side
    32,759.22x = 399,754,623.13
  5. Step 5: Solve for x
    x = 399,754,623.13/32,759.22
  6. Step 6: Final answer
    x = 12,202.81

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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.