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Finding the Fourth Proportional to 50.69, 76.13 and 47.86

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Solution

The fourth proportional to 50.69, 76.13 and 47.86 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.69 : 76.13 = 47.86 : x
  2. Step 2: Convert to fraction form
    50.69/76.13 = 47.86/x
  3. Step 3: Cross multiply
    50.69x = 76.13 × 47.86
  4. Step 4: Simplify right side
    50.69x = 3,643.58
  5. Step 5: Solve for x
    x = 3,643.58/50.69
  6. Step 6: Final answer
    x = 71.88

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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.