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Finding the Fourth Proportional to 29,062.50, 43,594.16 and 8,286

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Solution

The fourth proportional to 29,062.50, 43,594.16 and 8,286 is: 12,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,062.50 : 43,594.16 = 8,286 : x
  2. Step 2: Convert to fraction form
    29,062.50/43,594.16 = 8,286/x
  3. Step 3: Cross multiply
    29,062.50x = 43,594.16 × 8,286
  4. Step 4: Simplify right side
    29,062.50x = 361,221,168.33
  5. Step 5: Solve for x
    x = 361,221,168.33/29,062.50
  6. Step 6: Final answer
    x = 12,429.12

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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.