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Finding the Fourth Proportional to 50.34, 74.94 and 49.71

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Solution

The fourth proportional to 50.34, 74.94 and 49.71 is: 74.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.34 : 74.94 = 49.71 : x
  2. Step 2: Convert to fraction form
    50.34/74.94 = 49.71/x
  3. Step 3: Cross multiply
    50.34x = 74.94 × 49.71
  4. Step 4: Simplify right side
    50.34x = 3,725.27
  5. Step 5: Solve for x
    x = 3,725.27/50.34
  6. Step 6: Final answer
    x = 74.00

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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.