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Finding the Fourth Proportional to 32.71, 48.78 and 28.42

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Solution

The fourth proportional to 32.71, 48.78 and 28.42 is: 42.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.71 : 48.78 = 28.42 : x
  2. Step 2: Convert to fraction form
    32.71/48.78 = 28.42/x
  3. Step 3: Cross multiply
    32.71x = 48.78 × 28.42
  4. Step 4: Simplify right side
    32.71x = 1,386.33
  5. Step 5: Solve for x
    x = 1,386.33/32.71
  6. Step 6: Final answer
    x = 42.38

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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.