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Finding the Fourth Proportional to 50.87, 75.90 and 47.38

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Solution

The fourth proportional to 50.87, 75.90 and 47.38 is: 70.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.87 : 75.90 = 47.38 : x
  2. Step 2: Convert to fraction form
    50.87/75.90 = 47.38/x
  3. Step 3: Cross multiply
    50.87x = 75.90 × 47.38
  4. Step 4: Simplify right side
    50.87x = 3,596.14
  5. Step 5: Solve for x
    x = 3,596.14/50.87
  6. Step 6: Final answer
    x = 70.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.