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Finding the Fourth Proportional to 50.47, 75.82 and 33.39

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Solution

The fourth proportional to 50.47, 75.82 and 33.39 is: 50.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.47 : 75.82 = 33.39 : x
  2. Step 2: Convert to fraction form
    50.47/75.82 = 33.39/x
  3. Step 3: Cross multiply
    50.47x = 75.82 × 33.39
  4. Step 4: Simplify right side
    50.47x = 2,531.63
  5. Step 5: Solve for x
    x = 2,531.63/50.47
  6. Step 6: Final answer
    x = 50.16

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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.