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Finding the Fourth Proportional to 38,361.60, 57,283.20 and 33,177.60

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Solution

The fourth proportional to 38,361.60, 57,283.20 and 33,177.60 is: 49,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,361.60 : 57,283.20 = 33,177.60 : x
  2. Step 2: Convert to fraction form
    38,361.60/57,283.20 = 33,177.60/x
  3. Step 3: Cross multiply
    38,361.60x = 57,283.20 × 33,177.60
  4. Step 4: Simplify right side
    38,361.60x = 1,900,519,096.32
  5. Step 5: Solve for x
    x = 1,900,519,096.32/38,361.60
  6. Step 6: Final answer
    x = 49,542.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.