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Finding the Fourth Proportional to 105,940.30, 158,910.30 and 27,054.58

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Solution

The fourth proportional to 105,940.30, 158,910.30 and 27,054.58 is: 40,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,940.30 : 158,910.30 = 27,054.58 : x
  2. Step 2: Convert to fraction form
    105,940.30/158,910.30 = 27,054.58/x
  3. Step 3: Cross multiply
    105,940.30x = 158,910.30 × 27,054.58
  4. Step 4: Simplify right side
    105,940.30x = 4,299,251,424.17
  5. Step 5: Solve for x
    x = 4,299,251,424.17/105,940.30
  6. Step 6: Final answer
    x = 40,581.83

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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.