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Finding the Fourth Proportional to 48.36, 72.56 and 47.80

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Solution

The fourth proportional to 48.36, 72.56 and 47.80 is: 71.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.36 : 72.56 = 47.80 : x
  2. Step 2: Convert to fraction form
    48.36/72.56 = 47.80/x
  3. Step 3: Cross multiply
    48.36x = 72.56 × 47.80
  4. Step 4: Simplify right side
    48.36x = 3,468.37
  5. Step 5: Solve for x
    x = 3,468.37/48.36
  6. Step 6: Final answer
    x = 71.72

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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.