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Finding the Fourth Proportional to 29,161, 43,748.86 and 8,384.52

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Solution

The fourth proportional to 29,161, 43,748.86 and 8,384.52 is: 12,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,161 : 43,748.86 = 8,384.52 : x
  2. Step 2: Convert to fraction form
    29,161/43,748.86 = 8,384.52/x
  3. Step 3: Cross multiply
    29,161x = 43,748.86 × 8,384.52
  4. Step 4: Simplify right side
    29,161x = 366,813,191.65
  5. Step 5: Solve for x
    x = 366,813,191.65/29,161
  6. Step 6: Final answer
    x = 12,578.90

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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.