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Finding the Fourth Proportional to 55,614.80, 83,414.10 and 16,167.80

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Solution

The fourth proportional to 55,614.80, 83,414.10 and 16,167.80 is: 24,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,614.80 : 83,414.10 = 16,167.80 : x
  2. Step 2: Convert to fraction form
    55,614.80/83,414.10 = 16,167.80/x
  3. Step 3: Cross multiply
    55,614.80x = 83,414.10 × 16,167.80
  4. Step 4: Simplify right side
    55,614.80x = 1,348,622,485.98
  5. Step 5: Solve for x
    x = 1,348,622,485.98/55,614.80
  6. Step 6: Final answer
    x = 24,249.35

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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.