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Finding the Fourth Proportional to 29,152.65, 43,732.10 and 8,092.78

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Solution

The fourth proportional to 29,152.65, 43,732.10 and 8,092.78 is: 12,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,152.65 : 43,732.10 = 8,092.78 : x
  2. Step 2: Convert to fraction form
    29,152.65/43,732.10 = 8,092.78/x
  3. Step 3: Cross multiply
    29,152.65x = 43,732.10 × 8,092.78
  4. Step 4: Simplify right side
    29,152.65x = 353,914,114.44
  5. Step 5: Solve for x
    x = 353,914,114.44/29,152.65
  6. Step 6: Final answer
    x = 12,140.03

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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.