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Finding the Fourth Proportional to 29,150.50, 43,733.13 and 8,374

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Solution

The fourth proportional to 29,150.50, 43,733.13 and 8,374 is: 12,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,150.50 : 43,733.13 = 8,374 : x
  2. Step 2: Convert to fraction form
    29,150.50/43,733.13 = 8,374/x
  3. Step 3: Cross multiply
    29,150.50x = 43,733.13 × 8,374
  4. Step 4: Simplify right side
    29,150.50x = 366,221,230.62
  5. Step 5: Solve for x
    x = 366,221,230.62/29,150.50
  6. Step 6: Final answer
    x = 12,563.12

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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.