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Finding the Fourth Proportional to 55,361.76, 82,833.05 and 33,938.28

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Solution

The fourth proportional to 55,361.76, 82,833.05 and 33,938.28 is: 50,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,361.76 : 82,833.05 = 33,938.28 : x
  2. Step 2: Convert to fraction form
    55,361.76/82,833.05 = 33,938.28/x
  3. Step 3: Cross multiply
    55,361.76x = 82,833.05 × 33,938.28
  4. Step 4: Simplify right side
    55,361.76x = 2,811,211,074.46
  5. Step 5: Solve for x
    x = 2,811,211,074.46/55,361.76
  6. Step 6: Final answer
    x = 50,778.93

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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.