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Finding the Fourth Proportional to 55,199.86, 82,375.27 and 54,884.11

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Solution

The fourth proportional to 55,199.86, 82,375.27 and 54,884.11 is: 81,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,199.86 : 82,375.27 = 54,884.11 : x
  2. Step 2: Convert to fraction form
    55,199.86/82,375.27 = 54,884.11/x
  3. Step 3: Cross multiply
    55,199.86x = 82,375.27 × 54,884.11
  4. Step 4: Simplify right side
    55,199.86x = 4,521,093,379.96
  5. Step 5: Solve for x
    x = 4,521,093,379.96/55,199.86
  6. Step 6: Final answer
    x = 81,904.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.