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Finding the Fourth Proportional to 49,048.67, 73,575.68 and 15,766.18

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Solution

The fourth proportional to 49,048.67, 73,575.68 and 15,766.18 is: 23,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,048.67 : 73,575.68 = 15,766.18 : x
  2. Step 2: Convert to fraction form
    49,048.67/73,575.68 = 15,766.18/x
  3. Step 3: Cross multiply
    49,048.67x = 73,575.68 × 15,766.18
  4. Step 4: Simplify right side
    49,048.67x = 1,160,007,151.73
  5. Step 5: Solve for x
    x = 1,160,007,151.73/49,048.67
  6. Step 6: Final answer
    x = 23,650.12

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Why These Related Problems?

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