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Finding the Fourth Proportional to 102,601.35, 153,901.35 and 27,728.97

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Solution

The fourth proportional to 102,601.35, 153,901.35 and 27,728.97 is: 41,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,601.35 : 153,901.35 = 27,728.97 : x
  2. Step 2: Convert to fraction form
    102,601.35/153,901.35 = 27,728.97/x
  3. Step 3: Cross multiply
    102,601.35x = 153,901.35 × 27,728.97
  4. Step 4: Simplify right side
    102,601.35x = 4,267,525,917.11
  5. Step 5: Solve for x
    x = 4,267,525,917.11/102,601.35
  6. Step 6: Final answer
    x = 41,593.27

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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.