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Finding the Fourth Proportional to 34.61, 47.78 and 24.24

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Solution

The fourth proportional to 34.61, 47.78 and 24.24 is: 33.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.61 : 47.78 = 24.24 : x
  2. Step 2: Convert to fraction form
    34.61/47.78 = 24.24/x
  3. Step 3: Cross multiply
    34.61x = 47.78 × 24.24
  4. Step 4: Simplify right side
    34.61x = 1,158.19
  5. Step 5: Solve for x
    x = 1,158.19/34.61
  6. Step 6: Final answer
    x = 33.46

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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.