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Finding the Fourth Proportional to 55,651.72, 83,475.42 and 22,361.80

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Solution

The fourth proportional to 55,651.72, 83,475.42 and 22,361.80 is: 33,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,651.72 : 83,475.42 = 22,361.80 : x
  2. Step 2: Convert to fraction form
    55,651.72/83,475.42 = 22,361.80/x
  3. Step 3: Cross multiply
    55,651.72x = 83,475.42 × 22,361.80
  4. Step 4: Simplify right side
    55,651.72x = 1,866,660,646.96
  5. Step 5: Solve for x
    x = 1,866,660,646.96/55,651.72
  6. Step 6: Final answer
    x = 33,541.83

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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.