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Finding the Fourth Proportional to 108,102.73, 162,227.90 and 37,982.04

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Solution

The fourth proportional to 108,102.73, 162,227.90 and 37,982.04 is: 56,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,102.73 : 162,227.90 = 37,982.04 : x
  2. Step 2: Convert to fraction form
    108,102.73/162,227.90 = 37,982.04/x
  3. Step 3: Cross multiply
    108,102.73x = 162,227.90 × 37,982.04
  4. Step 4: Simplify right side
    108,102.73x = 6,161,746,476.37
  5. Step 5: Solve for x
    x = 6,161,746,476.37/108,102.73
  6. Step 6: Final answer
    x = 56,998.99

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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.