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Finding the Fourth Proportional to 31.98, 47.99 and 30.47

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Solution

The fourth proportional to 31.98, 47.99 and 30.47 is: 45.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.98 : 47.99 = 30.47 : x
  2. Step 2: Convert to fraction form
    31.98/47.99 = 30.47/x
  3. Step 3: Cross multiply
    31.98x = 47.99 × 30.47
  4. Step 4: Simplify right side
    31.98x = 1,462.26
  5. Step 5: Solve for x
    x = 1,462.26/31.98
  6. Step 6: Final answer
    x = 45.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.