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Finding the Fourth Proportional to 29,069.50, 43,604.66 and 8,293

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Solution

The fourth proportional to 29,069.50, 43,604.66 and 8,293 is: 12,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,069.50 : 43,604.66 = 8,293 : x
  2. Step 2: Convert to fraction form
    29,069.50/43,604.66 = 8,293/x
  3. Step 3: Cross multiply
    29,069.50x = 43,604.66 × 8,293
  4. Step 4: Simplify right side
    29,069.50x = 361,613,445.38
  5. Step 5: Solve for x
    x = 361,613,445.38/29,069.50
  6. Step 6: Final answer
    x = 12,439.62

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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.