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Finding the Fourth Proportional to 108,084, 162,012.99 and 36,982.77

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Solution

The fourth proportional to 108,084, 162,012.99 and 36,982.77 is: 55,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,084 : 162,012.99 = 36,982.77 : x
  2. Step 2: Convert to fraction form
    108,084/162,012.99 = 36,982.77/x
  3. Step 3: Cross multiply
    108,084x = 162,012.99 × 36,982.77
  4. Step 4: Simplify right side
    108,084x = 5,991,689,146.18
  5. Step 5: Solve for x
    x = 5,991,689,146.18/108,084
  6. Step 6: Final answer
    x = 55,435.49

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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.