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Finding the Fourth Proportional to 108,285.87, 162,444.06 and 33,412.10

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Solution

The fourth proportional to 108,285.87, 162,444.06 and 33,412.10 is: 50,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,285.87 : 162,444.06 = 33,412.10 : x
  2. Step 2: Convert to fraction form
    108,285.87/162,444.06 = 33,412.10/x
  3. Step 3: Cross multiply
    108,285.87x = 162,444.06 × 33,412.10
  4. Step 4: Simplify right side
    108,285.87x = 5,427,597,177.13
  5. Step 5: Solve for x
    x = 5,427,597,177.13/108,285.87
  6. Step 6: Final answer
    x = 50,122.86

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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.