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Finding the Fourth Proportional to 31,195, 46,764.42 and 11,469.34

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Solution

The fourth proportional to 31,195, 46,764.42 and 11,469.34 is: 17,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195 : 46,764.42 = 11,469.34 : x
  2. Step 2: Convert to fraction form
    31,195/46,764.42 = 11,469.34/x
  3. Step 3: Cross multiply
    31,195x = 46,764.42 × 11,469.34
  4. Step 4: Simplify right side
    31,195x = 536,357,032.88
  5. Step 5: Solve for x
    x = 536,357,032.88/31,195
  6. Step 6: Final answer
    x = 17,193.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.