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Finding the Fourth Proportional to 32.09, 48.17 and 24.46

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Solution

The fourth proportional to 32.09, 48.17 and 24.46 is: 36.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.09 : 48.17 = 24.46 : x
  2. Step 2: Convert to fraction form
    32.09/48.17 = 24.46/x
  3. Step 3: Cross multiply
    32.09x = 48.17 × 24.46
  4. Step 4: Simplify right side
    32.09x = 1,178.24
  5. Step 5: Solve for x
    x = 1,178.24/32.09
  6. Step 6: Final answer
    x = 36.72

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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.