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Finding the Fourth Proportional to 50.04, 75.20 and 36.47

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Solution

The fourth proportional to 50.04, 75.20 and 36.47 is: 54.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.04 : 75.20 = 36.47 : x
  2. Step 2: Convert to fraction form
    50.04/75.20 = 36.47/x
  3. Step 3: Cross multiply
    50.04x = 75.20 × 36.47
  4. Step 4: Simplify right side
    50.04x = 2,742.55
  5. Step 5: Solve for x
    x = 2,742.55/50.04
  6. Step 6: Final answer
    x = 54.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.