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Finding the Fourth Proportional to 50,464.38, 69,640.85 and 29,255.95

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Solution

The fourth proportional to 50,464.38, 69,640.85 and 29,255.95 is: 40,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464.38 : 69,640.85 = 29,255.95 : x
  2. Step 2: Convert to fraction form
    50,464.38/69,640.85 = 29,255.95/x
  3. Step 3: Cross multiply
    50,464.38x = 69,640.85 × 29,255.95
  4. Step 4: Simplify right side
    50,464.38x = 2,037,409,225.56
  5. Step 5: Solve for x
    x = 2,037,409,225.56/50,464.38
  6. Step 6: Final answer
    x = 40,373.21

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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.