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Finding the Fourth Proportional to 49,658.94, 74,488.23 and 20,076.42

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Solution

The fourth proportional to 49,658.94, 74,488.23 and 20,076.42 is: 30,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658.94 : 74,488.23 = 20,076.42 : x
  2. Step 2: Convert to fraction form
    49,658.94/74,488.23 = 20,076.42/x
  3. Step 3: Cross multiply
    49,658.94x = 74,488.23 × 20,076.42
  4. Step 4: Simplify right side
    49,658.94x = 1,495,456,990.54
  5. Step 5: Solve for x
    x = 1,495,456,990.54/49,658.94
  6. Step 6: Final answer
    x = 30,114.56

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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.