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Finding the Fourth Proportional to 108,213.76, 162,338.10 and 33,333.90

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Solution

The fourth proportional to 108,213.76, 162,338.10 and 33,333.90 is: 50,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,213.76 : 162,338.10 = 33,333.90 : x
  2. Step 2: Convert to fraction form
    108,213.76/162,338.10 = 33,333.90/x
  3. Step 3: Cross multiply
    108,213.76x = 162,338.10 × 33,333.90
  4. Step 4: Simplify right side
    108,213.76x = 5,411,361,991.59
  5. Step 5: Solve for x
    x = 5,411,361,991.59/108,213.76
  6. Step 6: Final answer
    x = 50,006.23

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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.