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Finding the Fourth Proportional to 50.34, 75.60 and 47.82

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Solution

The fourth proportional to 50.34, 75.60 and 47.82 is: 71.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.34 : 75.60 = 47.82 : x
  2. Step 2: Convert to fraction form
    50.34/75.60 = 47.82/x
  3. Step 3: Cross multiply
    50.34x = 75.60 × 47.82
  4. Step 4: Simplify right side
    50.34x = 3,615.19
  5. Step 5: Solve for x
    x = 3,615.19/50.34
  6. Step 6: Final answer
    x = 71.82

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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.