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Finding the Fourth Proportional to 50,427.64, 69,584.16 and 29,202.76

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Solution

The fourth proportional to 50,427.64, 69,584.16 and 29,202.76 is: 40,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,427.64 : 69,584.16 = 29,202.76 : x
  2. Step 2: Convert to fraction form
    50,427.64/69,584.16 = 29,202.76/x
  3. Step 3: Cross multiply
    50,427.64x = 69,584.16 × 29,202.76
  4. Step 4: Simplify right side
    50,427.64x = 2,032,049,524.28
  5. Step 5: Solve for x
    x = 2,032,049,524.28/50,427.64
  6. Step 6: Final answer
    x = 40,296.34

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