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Finding the Fourth Proportional to 48.53, 67.25 and 47.61

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Solution

The fourth proportional to 48.53, 67.25 and 47.61 is: 65.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.53 : 67.25 = 47.61 : x
  2. Step 2: Convert to fraction form
    48.53/67.25 = 47.61/x
  3. Step 3: Cross multiply
    48.53x = 67.25 × 47.61
  4. Step 4: Simplify right side
    48.53x = 3,201.77
  5. Step 5: Solve for x
    x = 3,201.77/48.53
  6. Step 6: Final answer
    x = 65.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.