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Finding the Fourth Proportional to 31,457, 47,192.79 and 10,680.50

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Solution

The fourth proportional to 31,457, 47,192.79 and 10,680.50 is: 16,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457 : 47,192.79 = 10,680.50 : x
  2. Step 2: Convert to fraction form
    31,457/47,192.79 = 10,680.50/x
  3. Step 3: Cross multiply
    31,457x = 47,192.79 × 10,680.50
  4. Step 4: Simplify right side
    31,457x = 504,042,593.60
  5. Step 5: Solve for x
    x = 504,042,593.60/31,457
  6. Step 6: Final answer
    x = 16,023.23

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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.