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Finding the Fourth Proportional to 29,947.31, 41,327.54 and 16,519.02

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Solution

The fourth proportional to 29,947.31, 41,327.54 and 16,519.02 is: 22,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.31 : 41,327.54 = 16,519.02 : x
  2. Step 2: Convert to fraction form
    29,947.31/41,327.54 = 16,519.02/x
  3. Step 3: Cross multiply
    29,947.31x = 41,327.54 × 16,519.02
  4. Step 4: Simplify right side
    29,947.31x = 682,690,459.81
  5. Step 5: Solve for x
    x = 682,690,459.81/29,947.31
  6. Step 6: Final answer
    x = 22,796.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.