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Finding the Fourth Proportional to 50,407.58, 75,622.31 and 15,346.33

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Solution

The fourth proportional to 50,407.58, 75,622.31 and 15,346.33 is: 23,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,407.58 : 75,622.31 = 15,346.33 : x
  2. Step 2: Convert to fraction form
    50,407.58/75,622.31 = 15,346.33/x
  3. Step 3: Cross multiply
    50,407.58x = 75,622.31 × 15,346.33
  4. Step 4: Simplify right side
    50,407.58x = 1,160,524,716.38
  5. Step 5: Solve for x
    x = 1,160,524,716.38/50,407.58
  6. Step 6: Final answer
    x = 23,022.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.