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Finding the Fourth Proportional to 47.50, 65.58 and 31.97

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Solution

The fourth proportional to 47.50, 65.58 and 31.97 is: 44.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.50 : 65.58 = 31.97 : x
  2. Step 2: Convert to fraction form
    47.50/65.58 = 31.97/x
  3. Step 3: Cross multiply
    47.50x = 65.58 × 31.97
  4. Step 4: Simplify right side
    47.50x = 2,096.59
  5. Step 5: Solve for x
    x = 2,096.59/47.50
  6. Step 6: Final answer
    x = 44.14

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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.