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Finding the Fourth Proportional to 108,311.82, 162,405.20 and 33,411.86

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Solution

The fourth proportional to 108,311.82, 162,405.20 and 33,411.86 is: 50,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,311.82 : 162,405.20 = 33,411.86 : x
  2. Step 2: Convert to fraction form
    108,311.82/162,405.20 = 33,411.86/x
  3. Step 3: Cross multiply
    108,311.82x = 162,405.20 × 33,411.86
  4. Step 4: Simplify right side
    108,311.82x = 5,426,259,686.20
  5. Step 5: Solve for x
    x = 5,426,259,686.20/108,311.82
  6. Step 6: Final answer
    x = 50,098.50

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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.