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Finding the Fourth Proportional to 55,609.68, 83,422.72 and 16,161.68

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Solution

The fourth proportional to 55,609.68, 83,422.72 and 16,161.68 is: 24,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,609.68 : 83,422.72 = 16,161.68 : x
  2. Step 2: Convert to fraction form
    55,609.68/83,422.72 = 16,161.68/x
  3. Step 3: Cross multiply
    55,609.68x = 83,422.72 × 16,161.68
  4. Step 4: Simplify right side
    55,609.68x = 1,348,251,305.37
  5. Step 5: Solve for x
    x = 1,348,251,305.37/55,609.68
  6. Step 6: Final answer
    x = 24,244.90

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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.