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Finding the Fourth Proportional to 49,834.40, 74,780.40 and 18,672.80

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Solution

The fourth proportional to 49,834.40, 74,780.40 and 18,672.80 is: 28,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,834.40 : 74,780.40 = 18,672.80 : x
  2. Step 2: Convert to fraction form
    49,834.40/74,780.40 = 18,672.80/x
  3. Step 3: Cross multiply
    49,834.40x = 74,780.40 × 18,672.80
  4. Step 4: Simplify right side
    49,834.40x = 1,396,359,453.12
  5. Step 5: Solve for x
    x = 1,396,359,453.12/49,834.40
  6. Step 6: Final answer
    x = 28,019.99

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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.