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Finding the Fourth Proportional to 71,212.98, 106,884.27 and 37,961.40

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Solution

The fourth proportional to 71,212.98, 106,884.27 and 37,961.40 is: 56,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212.98 : 106,884.27 = 37,961.40 : x
  2. Step 2: Convert to fraction form
    71,212.98/106,884.27 = 37,961.40/x
  3. Step 3: Cross multiply
    71,212.98x = 106,884.27 × 37,961.40
  4. Step 4: Simplify right side
    71,212.98x = 4,057,476,527.18
  5. Step 5: Solve for x
    x = 4,057,476,527.18/71,212.98
  6. Step 6: Final answer
    x = 56,976.64

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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.