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Finding the Fourth Proportional to 49,229.75, 73,460.46 and 43,928.30

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Solution

The fourth proportional to 49,229.75, 73,460.46 and 43,928.30 is: 65,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,229.75 : 73,460.46 = 43,928.30 : x
  2. Step 2: Convert to fraction form
    49,229.75/73,460.46 = 43,928.30/x
  3. Step 3: Cross multiply
    49,229.75x = 73,460.46 × 43,928.30
  4. Step 4: Simplify right side
    49,229.75x = 3,226,993,125.02
  5. Step 5: Solve for x
    x = 3,226,993,125.02/49,229.75
  6. Step 6: Final answer
    x = 65,549.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.