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Finding the Fourth Proportional to 109,346.81, 164,042.49 and 41,874.08

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Solution

The fourth proportional to 109,346.81, 164,042.49 and 41,874.08 is: 62,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,346.81 : 164,042.49 = 41,874.08 : x
  2. Step 2: Convert to fraction form
    109,346.81/164,042.49 = 41,874.08/x
  3. Step 3: Cross multiply
    109,346.81x = 164,042.49 × 41,874.08
  4. Step 4: Simplify right side
    109,346.81x = 6,869,127,529.45
  5. Step 5: Solve for x
    x = 6,869,127,529.45/109,346.81
  6. Step 6: Final answer
    x = 62,819.65

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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.