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Finding the Fourth Proportional to 55,493.46, 83,232 and 20,424.96

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Solution

The fourth proportional to 55,493.46, 83,232 and 20,424.96 is: 30,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,493.46 : 83,232 = 20,424.96 : x
  2. Step 2: Convert to fraction form
    55,493.46/83,232 = 20,424.96/x
  3. Step 3: Cross multiply
    55,493.46x = 83,232 × 20,424.96
  4. Step 4: Simplify right side
    55,493.46x = 1,700,010,270.72
  5. Step 5: Solve for x
    x = 1,700,010,270.72/55,493.46
  6. Step 6: Final answer
    x = 30,634.43

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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.