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Finding the Fourth Proportional to 49,494.51, 68,284.52 and 32,507.97

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Solution

The fourth proportional to 49,494.51, 68,284.52 and 32,507.97 is: 44,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494.51 : 68,284.52 = 32,507.97 : x
  2. Step 2: Convert to fraction form
    49,494.51/68,284.52 = 32,507.97/x
  3. Step 3: Cross multiply
    49,494.51x = 68,284.52 × 32,507.97
  4. Step 4: Simplify right side
    49,494.51x = 2,219,790,830.92
  5. Step 5: Solve for x
    x = 2,219,790,830.92/49,494.51
  6. Step 6: Final answer
    x = 44,849.23

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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.