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Finding the Fourth Proportional to 55,846.38, 83,773.62 and 20,786

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Solution

The fourth proportional to 55,846.38, 83,773.62 and 20,786 is: 31,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846.38 : 83,773.62 = 20,786 : x
  2. Step 2: Convert to fraction form
    55,846.38/83,773.62 = 20,786/x
  3. Step 3: Cross multiply
    55,846.38x = 83,773.62 × 20,786
  4. Step 4: Simplify right side
    55,846.38x = 1,741,318,465.32
  5. Step 5: Solve for x
    x = 1,741,318,465.32/55,846.38
  6. Step 6: Final answer
    x = 31,180.51

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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.