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Finding the Fourth Proportional to 106,598.52, 159,722.80 and 36,439.56

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Solution

The fourth proportional to 106,598.52, 159,722.80 and 36,439.56 is: 54,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598.52 : 159,722.80 = 36,439.56 : x
  2. Step 2: Convert to fraction form
    106,598.52/159,722.80 = 36,439.56/x
  3. Step 3: Cross multiply
    106,598.52x = 159,722.80 × 36,439.56
  4. Step 4: Simplify right side
    106,598.52x = 5,820,228,553.97
  5. Step 5: Solve for x
    x = 5,820,228,553.97/106,598.52
  6. Step 6: Final answer
    x = 54,599.52

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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.