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Finding the Fourth Proportional to 73,205.38, 109,824.99 and 31,086.84

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Solution

The fourth proportional to 73,205.38, 109,824.99 and 31,086.84 is: 46,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.38 : 109,824.99 = 31,086.84 : x
  2. Step 2: Convert to fraction form
    73,205.38/109,824.99 = 31,086.84/x
  3. Step 3: Cross multiply
    73,205.38x = 109,824.99 × 31,086.84
  4. Step 4: Simplify right side
    73,205.38x = 3,414,111,657.07
  5. Step 5: Solve for x
    x = 3,414,111,657.07/73,205.38
  6. Step 6: Final answer
    x = 46,637.44

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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.