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Finding the Fourth Proportional to 29,974.80, 44,951.40 and 15,178.80

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Solution

The fourth proportional to 29,974.80, 44,951.40 and 15,178.80 is: 22,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.80 : 44,951.40 = 15,178.80 : x
  2. Step 2: Convert to fraction form
    29,974.80/44,951.40 = 15,178.80/x
  3. Step 3: Cross multiply
    29,974.80x = 44,951.40 × 15,178.80
  4. Step 4: Simplify right side
    29,974.80x = 682,308,310.32
  5. Step 5: Solve for x
    x = 682,308,310.32/29,974.80
  6. Step 6: Final answer
    x = 22,762.73

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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.