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Finding the Fourth Proportional to 52.04, 78.62 and 50.42

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Solution

The fourth proportional to 52.04, 78.62 and 50.42 is: 76.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.04 : 78.62 = 50.42 : x
  2. Step 2: Convert to fraction form
    52.04/78.62 = 50.42/x
  3. Step 3: Cross multiply
    52.04x = 78.62 × 50.42
  4. Step 4: Simplify right side
    52.04x = 3,964.02
  5. Step 5: Solve for x
    x = 3,964.02/52.04
  6. Step 6: Final answer
    x = 76.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.