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Finding the Fourth Proportional to 32.80, 48.89 and 32.44

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Solution

The fourth proportional to 32.80, 48.89 and 32.44 is: 48.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.80 : 48.89 = 32.44 : x
  2. Step 2: Convert to fraction form
    32.80/48.89 = 32.44/x
  3. Step 3: Cross multiply
    32.80x = 48.89 × 32.44
  4. Step 4: Simplify right side
    32.80x = 1,585.99
  5. Step 5: Solve for x
    x = 1,585.99/32.80
  6. Step 6: Final answer
    x = 48.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.