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Finding the Fourth Proportional to 109,805.84, 164,709.12 and 26,699.84

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Solution

The fourth proportional to 109,805.84, 164,709.12 and 26,699.84 is: 40,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,805.84 : 164,709.12 = 26,699.84 : x
  2. Step 2: Convert to fraction form
    109,805.84/164,709.12 = 26,699.84/x
  3. Step 3: Cross multiply
    109,805.84x = 164,709.12 × 26,699.84
  4. Step 4: Simplify right side
    109,805.84x = 4,397,707,150.54
  5. Step 5: Solve for x
    x = 4,397,707,150.54/109,805.84
  6. Step 6: Final answer
    x = 40,049.85

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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.