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Finding the Fourth Proportional to 50.37, 75.87 and 47.48

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Solution

The fourth proportional to 50.37, 75.87 and 47.48 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.37 : 75.87 = 47.48 : x
  2. Step 2: Convert to fraction form
    50.37/75.87 = 47.48/x
  3. Step 3: Cross multiply
    50.37x = 75.87 × 47.48
  4. Step 4: Simplify right side
    50.37x = 3,601.93
  5. Step 5: Solve for x
    x = 3,601.93/50.37
  6. Step 6: Final answer
    x = 71.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.