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Finding the Fourth Proportional to 71,769.32, 107,622.60 and 36,208.76

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Solution

The fourth proportional to 71,769.32, 107,622.60 and 36,208.76 is: 54,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.32 : 107,622.60 = 36,208.76 : x
  2. Step 2: Convert to fraction form
    71,769.32/107,622.60 = 36,208.76/x
  3. Step 3: Cross multiply
    71,769.32x = 107,622.60 × 36,208.76
  4. Step 4: Simplify right side
    71,769.32x = 3,896,880,893.98
  5. Step 5: Solve for x
    x = 3,896,880,893.98/71,769.32
  6. Step 6: Final answer
    x = 54,297.31

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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.