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Finding the Fourth Proportional to 47.50, 65.62 and 31.18

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Solution

The fourth proportional to 47.50, 65.62 and 31.18 is: 43.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.50 : 65.62 = 31.18 : x
  2. Step 2: Convert to fraction form
    47.50/65.62 = 31.18/x
  3. Step 3: Cross multiply
    47.50x = 65.62 × 31.18
  4. Step 4: Simplify right side
    47.50x = 2,046.03
  5. Step 5: Solve for x
    x = 2,046.03/47.50
  6. Step 6: Final answer
    x = 43.07

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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.