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Finding the Fourth Proportional to 34,150, 51,248.13 and 11,963.56

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Solution

The fourth proportional to 34,150, 51,248.13 and 11,963.56 is: 17,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150 : 51,248.13 = 11,963.56 : x
  2. Step 2: Convert to fraction form
    34,150/51,248.13 = 11,963.56/x
  3. Step 3: Cross multiply
    34,150x = 51,248.13 × 11,963.56
  4. Step 4: Simplify right side
    34,150x = 613,110,078.14
  5. Step 5: Solve for x
    x = 613,110,078.14/34,150
  6. Step 6: Final answer
    x = 17,953.44

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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.