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Finding the Fourth Proportional to 34.19, 47.19 and 24.52

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Solution

The fourth proportional to 34.19, 47.19 and 24.52 is: 33.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.19 : 47.19 = 24.52 : x
  2. Step 2: Convert to fraction form
    34.19/47.19 = 24.52/x
  3. Step 3: Cross multiply
    34.19x = 47.19 × 24.52
  4. Step 4: Simplify right side
    34.19x = 1,156.86
  5. Step 5: Solve for x
    x = 1,156.86/34.19
  6. Step 6: Final answer
    x = 33.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.