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Finding the Fourth Proportional to 48,867, 73,227.60 and 31,322.40

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Solution

The fourth proportional to 48,867, 73,227.60 and 31,322.40 is: 46,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,867 : 73,227.60 = 31,322.40 : x
  2. Step 2: Convert to fraction form
    48,867/73,227.60 = 31,322.40/x
  3. Step 3: Cross multiply
    48,867x = 73,227.60 × 31,322.40
  4. Step 4: Simplify right side
    48,867x = 2,293,664,178.24
  5. Step 5: Solve for x
    x = 2,293,664,178.24/48,867
  6. Step 6: Final answer
    x = 46,936.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.