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Finding the Fourth Proportional to 31.84, 47.78 and 24.15

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Solution

The fourth proportional to 31.84, 47.78 and 24.15 is: 36.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.84 : 47.78 = 24.15 : x
  2. Step 2: Convert to fraction form
    31.84/47.78 = 24.15/x
  3. Step 3: Cross multiply
    31.84x = 47.78 × 24.15
  4. Step 4: Simplify right side
    31.84x = 1,153.53
  5. Step 5: Solve for x
    x = 1,153.53/31.84
  6. Step 6: Final answer
    x = 36.23

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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.