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Finding the Fourth Proportional to 102,618.69, 153,936.87 and 27,738.51

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Solution

The fourth proportional to 102,618.69, 153,936.87 and 27,738.51 is: 41,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,618.69 : 153,936.87 = 27,738.51 : x
  2. Step 2: Convert to fraction form
    102,618.69/153,936.87 = 27,738.51/x
  3. Step 3: Cross multiply
    102,618.69x = 153,936.87 × 27,738.51
  4. Step 4: Simplify right side
    102,618.69x = 4,269,979,407.86
  5. Step 5: Solve for x
    x = 4,269,979,407.86/102,618.69
  6. Step 6: Final answer
    x = 41,610.15

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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.