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Finding the Fourth Proportional to 50,184.96, 69,249.60 and 31,056

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Solution

The fourth proportional to 50,184.96, 69,249.60 and 31,056 is: 42,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184.96 : 69,249.60 = 31,056 : x
  2. Step 2: Convert to fraction form
    50,184.96/69,249.60 = 31,056/x
  3. Step 3: Cross multiply
    50,184.96x = 69,249.60 × 31,056
  4. Step 4: Simplify right side
    50,184.96x = 2,150,615,577.60
  5. Step 5: Solve for x
    x = 2,150,615,577.60/50,184.96
  6. Step 6: Final answer
    x = 42,853.79

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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.