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Finding the Fourth Proportional to 29,471.40, 44,207.56 and 16,406.81

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Solution

The fourth proportional to 29,471.40, 44,207.56 and 16,406.81 is: 24,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.40 : 44,207.56 = 16,406.81 : x
  2. Step 2: Convert to fraction form
    29,471.40/44,207.56 = 16,406.81/x
  3. Step 3: Cross multiply
    29,471.40x = 44,207.56 × 16,406.81
  4. Step 4: Simplify right side
    29,471.40x = 725,305,037.48
  5. Step 5: Solve for x
    x = 725,305,037.48/29,471.40
  6. Step 6: Final answer
    x = 24,610.47

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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.