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Finding the Fourth Proportional to 38,361.50, 57,538.15 and 10,284.37

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Solution

The fourth proportional to 38,361.50, 57,538.15 and 10,284.37 is: 15,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,361.50 : 57,538.15 = 10,284.37 : x
  2. Step 2: Convert to fraction form
    38,361.50/57,538.15 = 10,284.37/x
  3. Step 3: Cross multiply
    38,361.50x = 57,538.15 × 10,284.37
  4. Step 4: Simplify right side
    38,361.50x = 591,743,454.16
  5. Step 5: Solve for x
    x = 591,743,454.16/38,361.50
  6. Step 6: Final answer
    x = 15,425.45

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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.