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Finding the Fourth Proportional to 29,247.96, 43,871.94 and 8,471.46

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Solution

The fourth proportional to 29,247.96, 43,871.94 and 8,471.46 is: 12,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,247.96 : 43,871.94 = 8,471.46 : x
  2. Step 2: Convert to fraction form
    29,247.96/43,871.94 = 8,471.46/x
  3. Step 3: Cross multiply
    29,247.96x = 43,871.94 × 8,471.46
  4. Step 4: Simplify right side
    29,247.96x = 371,659,384.83
  5. Step 5: Solve for x
    x = 371,659,384.83/29,247.96
  6. Step 6: Final answer
    x = 12,707.19

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Why These Related Problems?

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