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Finding the Fourth Proportional to 31,116.66, 46,680.96 and 17,069

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Solution

The fourth proportional to 31,116.66, 46,680.96 and 17,069 is: 25,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116.66 : 46,680.96 = 17,069 : x
  2. Step 2: Convert to fraction form
    31,116.66/46,680.96 = 17,069/x
  3. Step 3: Cross multiply
    31,116.66x = 46,680.96 × 17,069
  4. Step 4: Simplify right side
    31,116.66x = 796,797,306.24
  5. Step 5: Solve for x
    x = 796,797,306.24/31,116.66
  6. Step 6: Final answer
    x = 25,606.77

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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.