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Finding the Fourth Proportional to 31,178.77, 46,767.81 and 8,991.43

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Solution

The fourth proportional to 31,178.77, 46,767.81 and 8,991.43 is: 13,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.77 : 46,767.81 = 8,991.43 : x
  2. Step 2: Convert to fraction form
    31,178.77/46,767.81 = 8,991.43/x
  3. Step 3: Cross multiply
    31,178.77x = 46,767.81 × 8,991.43
  4. Step 4: Simplify right side
    31,178.77x = 420,509,256.03
  5. Step 5: Solve for x
    x = 420,509,256.03/31,178.77
  6. Step 6: Final answer
    x = 13,487.04

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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.