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Finding the Fourth Proportional to 34.04, 50.76 and 32.14

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Solution

The fourth proportional to 34.04, 50.76 and 32.14 is: 47.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.04 : 50.76 = 32.14 : x
  2. Step 2: Convert to fraction form
    34.04/50.76 = 32.14/x
  3. Step 3: Cross multiply
    34.04x = 50.76 × 32.14
  4. Step 4: Simplify right side
    34.04x = 1,631.43
  5. Step 5: Solve for x
    x = 1,631.43/34.04
  6. Step 6: Final answer
    x = 47.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.