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Finding the Fourth Proportional to 49,509.70, 68,305.43 and 32,523.09

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Solution

The fourth proportional to 49,509.70, 68,305.43 and 32,523.09 is: 44,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.70 : 68,305.43 = 32,523.09 : x
  2. Step 2: Convert to fraction form
    49,509.70/68,305.43 = 32,523.09/x
  3. Step 3: Cross multiply
    49,509.70x = 68,305.43 × 32,523.09
  4. Step 4: Simplify right side
    49,509.70x = 2,221,503,647.38
  5. Step 5: Solve for x
    x = 2,221,503,647.38/49,509.70
  6. Step 6: Final answer
    x = 44,870.07

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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.