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Finding the Fourth Proportional to 29,193, 40,286.50 and 15,945

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Solution

The fourth proportional to 29,193, 40,286.50 and 15,945 is: 22,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193 : 40,286.50 = 15,945 : x
  2. Step 2: Convert to fraction form
    29,193/40,286.50 = 15,945/x
  3. Step 3: Cross multiply
    29,193x = 40,286.50 × 15,945
  4. Step 4: Simplify right side
    29,193x = 642,368,242.50
  5. Step 5: Solve for x
    x = 642,368,242.50/29,193
  6. Step 6: Final answer
    x = 22,004.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.