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Finding the Fourth Proportional to 55,209.48, 82,814.31 and 20,140.98

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Solution

The fourth proportional to 55,209.48, 82,814.31 and 20,140.98 is: 30,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209.48 : 82,814.31 = 20,140.98 : x
  2. Step 2: Convert to fraction form
    55,209.48/82,814.31 = 20,140.98/x
  3. Step 3: Cross multiply
    55,209.48x = 82,814.31 × 20,140.98
  4. Step 4: Simplify right side
    55,209.48x = 1,667,961,361.42
  5. Step 5: Solve for x
    x = 1,667,961,361.42/55,209.48
  6. Step 6: Final answer
    x = 30,211.50

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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.