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Finding the Fourth Proportional to 50.28, 74.87 and 47.64

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Solution

The fourth proportional to 50.28, 74.87 and 47.64 is: 70.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.28 : 74.87 = 47.64 : x
  2. Step 2: Convert to fraction form
    50.28/74.87 = 47.64/x
  3. Step 3: Cross multiply
    50.28x = 74.87 × 47.64
  4. Step 4: Simplify right side
    50.28x = 3,566.81
  5. Step 5: Solve for x
    x = 3,566.81/50.28
  6. Step 6: Final answer
    x = 70.94

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Why These Related Problems?

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