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Finding the Fourth Proportional to 50.19, 74.76 and 50.09

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Solution

The fourth proportional to 50.19, 74.76 and 50.09 is: 74.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.19 : 74.76 = 50.09 : x
  2. Step 2: Convert to fraction form
    50.19/74.76 = 50.09/x
  3. Step 3: Cross multiply
    50.19x = 74.76 × 50.09
  4. Step 4: Simplify right side
    50.19x = 3,744.17
  5. Step 5: Solve for x
    x = 3,744.17/50.19
  6. Step 6: Final answer
    x = 74.61

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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.