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Finding the Fourth Proportional to 47.53, 71.33 and 24.69

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Solution

The fourth proportional to 47.53, 71.33 and 24.69 is: 37.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 71.33 = 24.69 : x
  2. Step 2: Convert to fraction form
    47.53/71.33 = 24.69/x
  3. Step 3: Cross multiply
    47.53x = 71.33 × 24.69
  4. Step 4: Simplify right side
    47.53x = 1,761.14
  5. Step 5: Solve for x
    x = 1,761.14/47.53
  6. Step 6: Final answer
    x = 37.05

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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.