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Finding the Fourth Proportional to 50.47, 69.64 and 32.04

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Solution

The fourth proportional to 50.47, 69.64 and 32.04 is: 44.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.47 : 69.64 = 32.04 : x
  2. Step 2: Convert to fraction form
    50.47/69.64 = 32.04/x
  3. Step 3: Cross multiply
    50.47x = 69.64 × 32.04
  4. Step 4: Simplify right side
    50.47x = 2,231.11
  5. Step 5: Solve for x
    x = 2,231.11/50.47
  6. Step 6: Final answer
    x = 44.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.