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Finding the Fourth Proportional to 102,617.69, 153,935.37 and 27,737.51

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Solution

The fourth proportional to 102,617.69, 153,935.37 and 27,737.51 is: 41,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.69 : 153,935.37 = 27,737.51 : x
  2. Step 2: Convert to fraction form
    102,617.69/153,935.37 = 27,737.51/x
  3. Step 3: Cross multiply
    102,617.69x = 153,935.37 × 27,737.51
  4. Step 4: Simplify right side
    102,617.69x = 4,269,783,095.05
  5. Step 5: Solve for x
    x = 4,269,783,095.05/102,617.69
  6. Step 6: Final answer
    x = 41,608.65

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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.