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Finding the Fourth Proportional to 49,222.99, 73,863.16 and 20,758.20

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Solution

The fourth proportional to 49,222.99, 73,863.16 and 20,758.20 is: 31,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,222.99 : 73,863.16 = 20,758.20 : x
  2. Step 2: Convert to fraction form
    49,222.99/73,863.16 = 20,758.20/x
  3. Step 3: Cross multiply
    49,222.99x = 73,863.16 × 20,758.20
  4. Step 4: Simplify right side
    49,222.99x = 1,533,266,196.02
  5. Step 5: Solve for x
    x = 1,533,266,196.02/49,222.99
  6. Step 6: Final answer
    x = 31,149.39

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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.