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Finding the Fourth Proportional to 50.52, 75.84 and 47.56

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Solution

The fourth proportional to 50.52, 75.84 and 47.56 is: 71.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.52 : 75.84 = 47.56 : x
  2. Step 2: Convert to fraction form
    50.52/75.84 = 47.56/x
  3. Step 3: Cross multiply
    50.52x = 75.84 × 47.56
  4. Step 4: Simplify right side
    50.52x = 3,606.95
  5. Step 5: Solve for x
    x = 3,606.95/50.52
  6. Step 6: Final answer
    x = 71.40

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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.