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Finding the Fourth Proportional to 49.90, 74.98 and 32.82

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Solution

The fourth proportional to 49.90, 74.98 and 32.82 is: 49.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.90 : 74.98 = 32.82 : x
  2. Step 2: Convert to fraction form
    49.90/74.98 = 32.82/x
  3. Step 3: Cross multiply
    49.90x = 74.98 × 32.82
  4. Step 4: Simplify right side
    49.90x = 2,460.84
  5. Step 5: Solve for x
    x = 2,460.84/49.90
  6. Step 6: Final answer
    x = 49.32

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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.