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Finding the Fourth Proportional to 106,872.30, 160,270.65 and 36,735.30

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Solution

The fourth proportional to 106,872.30, 160,270.65 and 36,735.30 is: 55,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,872.30 : 160,270.65 = 36,735.30 : x
  2. Step 2: Convert to fraction form
    106,872.30/160,270.65 = 36,735.30/x
  3. Step 3: Cross multiply
    106,872.30x = 160,270.65 × 36,735.30
  4. Step 4: Simplify right side
    106,872.30x = 5,887,590,408.95
  5. Step 5: Solve for x
    x = 5,887,590,408.95/106,872.30
  6. Step 6: Final answer
    x = 55,089.96

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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.