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Finding the Fourth Proportional to 32.38, 48.54 and 24.80

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Solution

The fourth proportional to 32.38, 48.54 and 24.80 is: 37.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.38 : 48.54 = 24.80 : x
  2. Step 2: Convert to fraction form
    32.38/48.54 = 24.80/x
  3. Step 3: Cross multiply
    32.38x = 48.54 × 24.80
  4. Step 4: Simplify right side
    32.38x = 1,203.91
  5. Step 5: Solve for x
    x = 1,203.91/32.38
  6. Step 6: Final answer
    x = 37.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.