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Finding the Fourth Proportional to 69,202.00, 103,722.35 and 31,766.03

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Solution

The fourth proportional to 69,202.00, 103,722.35 and 31,766.03 is: 47,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.00 : 103,722.35 = 31,766.03 : x
  2. Step 2: Convert to fraction form
    69,202.00/103,722.35 = 31,766.03/x
  3. Step 3: Cross multiply
    69,202.00x = 103,722.35 × 31,766.03
  4. Step 4: Simplify right side
    69,202.00x = 3,294,846,604.33
  5. Step 5: Solve for x
    x = 3,294,846,604.33/69,202.00
  6. Step 6: Final answer
    x = 47,612.02

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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.