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Finding the Fourth Proportional to 65,329.38, 90,205.38 and 50,198.04

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Solution

The fourth proportional to 65,329.38, 90,205.38 and 50,198.04 is: 69,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,329.38 : 90,205.38 = 50,198.04 : x
  2. Step 2: Convert to fraction form
    65,329.38/90,205.38 = 50,198.04/x
  3. Step 3: Cross multiply
    65,329.38x = 90,205.38 × 50,198.04
  4. Step 4: Simplify right side
    65,329.38x = 4,528,133,273.46
  5. Step 5: Solve for x
    x = 4,528,133,273.46/65,329.38
  6. Step 6: Final answer
    x = 69,312.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.