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Finding the Fourth Proportional to 35.24, 52.87 and 32.74

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Solution

The fourth proportional to 35.24, 52.87 and 32.74 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.24 : 52.87 = 32.74 : x
  2. Step 2: Convert to fraction form
    35.24/52.87 = 32.74/x
  3. Step 3: Cross multiply
    35.24x = 52.87 × 32.74
  4. Step 4: Simplify right side
    35.24x = 1,730.96
  5. Step 5: Solve for x
    x = 1,730.96/35.24
  6. Step 6: Final answer
    x = 49.12

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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.