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Finding the Fourth Proportional to 55,855.44, 83,800.17 and 16,412.90

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Solution

The fourth proportional to 55,855.44, 83,800.17 and 16,412.90 is: 24,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,855.44 : 83,800.17 = 16,412.90 : x
  2. Step 2: Convert to fraction form
    55,855.44/83,800.17 = 16,412.90/x
  3. Step 3: Cross multiply
    55,855.44x = 83,800.17 × 16,412.90
  4. Step 4: Simplify right side
    55,855.44x = 1,375,403,391.19
  5. Step 5: Solve for x
    x = 1,375,403,391.19/55,855.44
  6. Step 6: Final answer
    x = 24,624.34

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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.