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Finding the Fourth Proportional to 71,009.32, 106,499.40 and 33,553.48

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Solution

The fourth proportional to 71,009.32, 106,499.40 and 33,553.48 is: 50,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009.32 : 106,499.40 = 33,553.48 : x
  2. Step 2: Convert to fraction form
    71,009.32/106,499.40 = 33,553.48/x
  3. Step 3: Cross multiply
    71,009.32x = 106,499.40 × 33,553.48
  4. Step 4: Simplify right side
    71,009.32x = 3,573,425,487.91
  5. Step 5: Solve for x
    x = 3,573,425,487.91/71,009.32
  6. Step 6: Final answer
    x = 50,323.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.