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Finding the Fourth Proportional to 49.80, 75.09 and 47.40

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Solution

The fourth proportional to 49.80, 75.09 and 47.40 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.80 : 75.09 = 47.40 : x
  2. Step 2: Convert to fraction form
    49.80/75.09 = 47.40/x
  3. Step 3: Cross multiply
    49.80x = 75.09 × 47.40
  4. Step 4: Simplify right side
    49.80x = 3,559.27
  5. Step 5: Solve for x
    x = 3,559.27/49.80
  6. Step 6: Final answer
    x = 71.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.