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Finding the Fourth Proportional to 106,186.64, 159,305.88 and 32,314.64

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Solution

The fourth proportional to 106,186.64, 159,305.88 and 32,314.64 is: 48,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,186.64 : 159,305.88 = 32,314.64 : x
  2. Step 2: Convert to fraction form
    106,186.64/159,305.88 = 32,314.64/x
  3. Step 3: Cross multiply
    106,186.64x = 159,305.88 × 32,314.64
  4. Step 4: Simplify right side
    106,186.64x = 5,147,912,162.08
  5. Step 5: Solve for x
    x = 5,147,912,162.08/106,186.64
  6. Step 6: Final answer
    x = 48,479.85

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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.