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Finding the Fourth Proportional to 50.04, 69.12 and 42.24

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Solution

The fourth proportional to 50.04, 69.12 and 42.24 is: 58.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.04 : 69.12 = 42.24 : x
  2. Step 2: Convert to fraction form
    50.04/69.12 = 42.24/x
  3. Step 3: Cross multiply
    50.04x = 69.12 × 42.24
  4. Step 4: Simplify right side
    50.04x = 2,919.63
  5. Step 5: Solve for x
    x = 2,919.63/50.04
  6. Step 6: Final answer
    x = 58.35

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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.