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Finding the Fourth Proportional to 55,687.44, 83,536.44 and 20,157.72

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Solution

The fourth proportional to 55,687.44, 83,536.44 and 20,157.72 is: 30,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,687.44 : 83,536.44 = 20,157.72 : x
  2. Step 2: Convert to fraction form
    55,687.44/83,536.44 = 20,157.72/x
  3. Step 3: Cross multiply
    55,687.44x = 83,536.44 × 20,157.72
  4. Step 4: Simplify right side
    55,687.44x = 1,683,904,167.32
  5. Step 5: Solve for x
    x = 1,683,904,167.32/55,687.44
  6. Step 6: Final answer
    x = 30,238.49

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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.