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Finding the Fourth Proportional to 66,813.17, 100,237.19 and 29,380.64

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Solution

The fourth proportional to 66,813.17, 100,237.19 and 29,380.64 is: 44,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,813.17 : 100,237.19 = 29,380.64 : x
  2. Step 2: Convert to fraction form
    66,813.17/100,237.19 = 29,380.64/x
  3. Step 3: Cross multiply
    66,813.17x = 100,237.19 × 29,380.64
  4. Step 4: Simplify right side
    66,813.17x = 2,945,032,145.91
  5. Step 5: Solve for x
    x = 2,945,032,145.91/66,813.17
  6. Step 6: Final answer
    x = 44,078.62

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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.