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Finding the Fourth Proportional to 47.50, 71.27 and 32.31

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Solution

The fourth proportional to 47.50, 71.27 and 32.31 is: 48.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.50 : 71.27 = 32.31 : x
  2. Step 2: Convert to fraction form
    47.50/71.27 = 32.31/x
  3. Step 3: Cross multiply
    47.50x = 71.27 × 32.31
  4. Step 4: Simplify right side
    47.50x = 2,302.69
  5. Step 5: Solve for x
    x = 2,302.69/47.50
  6. Step 6: Final answer
    x = 48.48

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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.