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Finding the Fourth Proportional to 113,772.62, 170,735.11 and 47,212.82

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Solution

The fourth proportional to 113,772.62, 170,735.11 and 47,212.82 is: 70,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,772.62 : 170,735.11 = 47,212.82 : x
  2. Step 2: Convert to fraction form
    113,772.62/170,735.11 = 47,212.82/x
  3. Step 3: Cross multiply
    113,772.62x = 170,735.11 × 47,212.82
  4. Step 4: Simplify right side
    113,772.62x = 8,060,885,162.43
  5. Step 5: Solve for x
    x = 8,060,885,162.43/113,772.62
  6. Step 6: Final answer
    x = 70,850.84

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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.