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Finding the Fourth Proportional to 106,481.32, 159,687.41 and 35,384.87

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Solution

The fourth proportional to 106,481.32, 159,687.41 and 35,384.87 is: 53,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,481.32 : 159,687.41 = 35,384.87 : x
  2. Step 2: Convert to fraction form
    106,481.32/159,687.41 = 35,384.87/x
  3. Step 3: Cross multiply
    106,481.32x = 159,687.41 × 35,384.87
  4. Step 4: Simplify right side
    106,481.32x = 5,650,518,243.49
  5. Step 5: Solve for x
    x = 5,650,518,243.49/106,481.32
  6. Step 6: Final answer
    x = 53,065.82

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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.