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Finding the Fourth Proportional to 50,936.64, 70,296 and 28,278.24

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Solution

The fourth proportional to 50,936.64, 70,296 and 28,278.24 is: 39,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,936.64 : 70,296 = 28,278.24 : x
  2. Step 2: Convert to fraction form
    50,936.64/70,296 = 28,278.24/x
  3. Step 3: Cross multiply
    50,936.64x = 70,296 × 28,278.24
  4. Step 4: Simplify right side
    50,936.64x = 1,987,847,159.04
  5. Step 5: Solve for x
    x = 1,987,847,159.04/50,936.64
  6. Step 6: Final answer
    x = 39,025.88

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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.