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Finding the Fourth Proportional to 71,696.32, 107,474.40 and 32,263.36

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Solution

The fourth proportional to 71,696.32, 107,474.40 and 32,263.36 is: 48,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.32 : 107,474.40 = 32,263.36 : x
  2. Step 2: Convert to fraction form
    71,696.32/107,474.40 = 32,263.36/x
  3. Step 3: Cross multiply
    71,696.32x = 107,474.40 × 32,263.36
  4. Step 4: Simplify right side
    71,696.32x = 3,467,485,257.98
  5. Step 5: Solve for x
    x = 3,467,485,257.98/71,696.32
  6. Step 6: Final answer
    x = 48,363.50

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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.