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Finding the Fourth Proportional to 29,542.94, 40,769.38 and 16,114.48

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Solution

The fourth proportional to 29,542.94, 40,769.38 and 16,114.48 is: 22,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.94 : 40,769.38 = 16,114.48 : x
  2. Step 2: Convert to fraction form
    29,542.94/40,769.38 = 16,114.48/x
  3. Step 3: Cross multiply
    29,542.94x = 40,769.38 × 16,114.48
  4. Step 4: Simplify right side
    29,542.94x = 656,977,459.94
  5. Step 5: Solve for x
    x = 656,977,459.94/29,542.94
  6. Step 6: Final answer
    x = 22,238.05

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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.