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Finding the Fourth Proportional to 55,758.30, 83,609.78 and 20,218.20

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Solution

The fourth proportional to 55,758.30, 83,609.78 and 20,218.20 is: 30,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758.30 : 83,609.78 = 20,218.20 : x
  2. Step 2: Convert to fraction form
    55,758.30/83,609.78 = 20,218.20/x
  3. Step 3: Cross multiply
    55,758.30x = 83,609.78 × 20,218.20
  4. Step 4: Simplify right side
    55,758.30x = 1,690,439,152.91
  5. Step 5: Solve for x
    x = 1,690,439,152.91/55,758.30
  6. Step 6: Final answer
    x = 30,317.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.