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Finding the Fourth Proportional to 106,714.56, 160,071.84 and 36,594.48

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Solution

The fourth proportional to 106,714.56, 160,071.84 and 36,594.48 is: 54,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,714.56 : 160,071.84 = 36,594.48 : x
  2. Step 2: Convert to fraction form
    106,714.56/160,071.84 = 36,594.48/x
  3. Step 3: Cross multiply
    106,714.56x = 160,071.84 × 36,594.48
  4. Step 4: Simplify right side
    106,714.56x = 5,857,745,747.44
  5. Step 5: Solve for x
    x = 5,857,745,747.44/106,714.56
  6. Step 6: Final answer
    x = 54,891.72

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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.