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Finding the Fourth Proportional to 50.02, 69.03 and 34.47

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Solution

The fourth proportional to 50.02, 69.03 and 34.47 is: 47.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 69.03 = 34.47 : x
  2. Step 2: Convert to fraction form
    50.02/69.03 = 34.47/x
  3. Step 3: Cross multiply
    50.02x = 69.03 × 34.47
  4. Step 4: Simplify right side
    50.02x = 2,379.46
  5. Step 5: Solve for x
    x = 2,379.46/50.02
  6. Step 6: Final answer
    x = 47.57

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