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Finding the Fourth Proportional to 50,223.96, 69,282.88 and 29,794.14

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Solution

The fourth proportional to 50,223.96, 69,282.88 and 29,794.14 is: 41,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,223.96 : 69,282.88 = 29,794.14 : x
  2. Step 2: Convert to fraction form
    50,223.96/69,282.88 = 29,794.14/x
  3. Step 3: Cross multiply
    50,223.96x = 69,282.88 × 29,794.14
  4. Step 4: Simplify right side
    50,223.96x = 2,064,223,826.32
  5. Step 5: Solve for x
    x = 2,064,223,826.32/50,223.96
  6. Step 6: Final answer
    x = 41,100.38

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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.