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Finding the Fourth Proportional to 92,523.87, 138,786.17 and 22,403.07

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Solution

The fourth proportional to 92,523.87, 138,786.17 and 22,403.07 is: 33,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,523.87 : 138,786.17 = 22,403.07 : x
  2. Step 2: Convert to fraction form
    92,523.87/138,786.17 = 22,403.07/x
  3. Step 3: Cross multiply
    92,523.87x = 138,786.17 × 22,403.07
  4. Step 4: Simplify right side
    92,523.87x = 3,109,236,169.53
  5. Step 5: Solve for x
    x = 3,109,236,169.53/92,523.87
  6. Step 6: Final answer
    x = 33,604.69

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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.