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Finding the Fourth Proportional to 106,714.86, 160,072.26 and 27,828.87

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Solution

The fourth proportional to 106,714.86, 160,072.26 and 27,828.87 is: 41,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,714.86 : 160,072.26 = 27,828.87 : x
  2. Step 2: Convert to fraction form
    106,714.86/160,072.26 = 27,828.87/x
  3. Step 3: Cross multiply
    106,714.86x = 160,072.26 × 27,828.87
  4. Step 4: Simplify right side
    106,714.86x = 4,454,630,114.15
  5. Step 5: Solve for x
    x = 4,454,630,114.15/106,714.86
  6. Step 6: Final answer
    x = 41,743.30

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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.