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Finding the Fourth Proportional to 69,214.62, 103,772.72 and 33,149.77

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Solution

The fourth proportional to 69,214.62, 103,772.72 and 33,149.77 is: 49,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,214.62 : 103,772.72 = 33,149.77 : x
  2. Step 2: Convert to fraction form
    69,214.62/103,772.72 = 33,149.77/x
  3. Step 3: Cross multiply
    69,214.62x = 103,772.72 × 33,149.77
  4. Step 4: Simplify right side
    69,214.62x = 3,440,041,634.53
  5. Step 5: Solve for x
    x = 3,440,041,634.53/69,214.62
  6. Step 6: Final answer
    x = 49,701.09

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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.