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Finding the Fourth Proportional to 38.61, 52.92 and 36.45

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Solution

The fourth proportional to 38.61, 52.92 and 36.45 is: 49.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 52.92 = 36.45 : x
  2. Step 2: Convert to fraction form
    38.61/52.92 = 36.45/x
  3. Step 3: Cross multiply
    38.61x = 52.92 × 36.45
  4. Step 4: Simplify right side
    38.61x = 1,928.93
  5. Step 5: Solve for x
    x = 1,928.93/38.61
  6. Step 6: Final answer
    x = 49.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.