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Finding the Fourth Proportional to 106,512.84, 159,769.26 and 36,392.76

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Solution

The fourth proportional to 106,512.84, 159,769.26 and 36,392.76 is: 54,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512.84 : 159,769.26 = 36,392.76 : x
  2. Step 2: Convert to fraction form
    106,512.84/159,769.26 = 36,392.76/x
  3. Step 3: Cross multiply
    106,512.84x = 159,769.26 × 36,392.76
  4. Step 4: Simplify right side
    106,512.84x = 5,814,444,334.56
  5. Step 5: Solve for x
    x = 5,814,444,334.56/106,512.84
  6. Step 6: Final answer
    x = 54,589.14

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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.