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Finding the Fourth Proportional to 30,864.96, 46,297.41 and 8,680.56

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Solution

The fourth proportional to 30,864.96, 46,297.41 and 8,680.56 is: 13,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864.96 : 46,297.41 = 8,680.56 : x
  2. Step 2: Convert to fraction form
    30,864.96/46,297.41 = 8,680.56/x
  3. Step 3: Cross multiply
    30,864.96x = 46,297.41 × 8,680.56
  4. Step 4: Simplify right side
    30,864.96x = 401,887,445.35
  5. Step 5: Solve for x
    x = 401,887,445.35/30,864.96
  6. Step 6: Final answer
    x = 13,020.83

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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.