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Finding the Fourth Proportional to 69,081.99, 103,591.99 and 31,654.32

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Solution

The fourth proportional to 69,081.99, 103,591.99 and 31,654.32 is: 47,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,081.99 : 103,591.99 = 31,654.32 : x
  2. Step 2: Convert to fraction form
    69,081.99/103,591.99 = 31,654.32/x
  3. Step 3: Cross multiply
    69,081.99x = 103,591.99 × 31,654.32
  4. Step 4: Simplify right side
    69,081.99x = 3,279,134,000.90
  5. Step 5: Solve for x
    x = 3,279,134,000.90/69,081.99
  6. Step 6: Final answer
    x = 47,467.28

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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.