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Finding the Fourth Proportional to 30,150.41, 45,227.78 and 7,963.57

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Solution

The fourth proportional to 30,150.41, 45,227.78 and 7,963.57 is: 11,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,150.41 : 45,227.78 = 7,963.57 : x
  2. Step 2: Convert to fraction form
    30,150.41/45,227.78 = 7,963.57/x
  3. Step 3: Cross multiply
    30,150.41x = 45,227.78 × 7,963.57
  4. Step 4: Simplify right side
    30,150.41x = 360,174,326.02
  5. Step 5: Solve for x
    x = 360,174,326.02/30,150.41
  6. Step 6: Final answer
    x = 11,945.92

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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.