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Finding the Fourth Proportional to 106,461.52, 159,706.86 and 36,322

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Solution

The fourth proportional to 106,461.52, 159,706.86 and 36,322 is: 54,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461.52 : 159,706.86 = 36,322 : x
  2. Step 2: Convert to fraction form
    106,461.52/159,706.86 = 36,322/x
  3. Step 3: Cross multiply
    106,461.52x = 159,706.86 × 36,322
  4. Step 4: Simplify right side
    106,461.52x = 5,800,872,568.92
  5. Step 5: Solve for x
    x = 5,800,872,568.92/106,461.52
  6. Step 6: Final answer
    x = 54,487.97

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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.