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Finding the Fourth Proportional to 27,728.29, 41,608.91 and 10,210.42

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Solution

The fourth proportional to 27,728.29, 41,608.91 and 10,210.42 is: 15,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.29 : 41,608.91 = 10,210.42 : x
  2. Step 2: Convert to fraction form
    27,728.29/41,608.91 = 10,210.42/x
  3. Step 3: Cross multiply
    27,728.29x = 41,608.91 × 10,210.42
  4. Step 4: Simplify right side
    27,728.29x = 424,844,446.84
  5. Step 5: Solve for x
    x = 424,844,446.84/27,728.29
  6. Step 6: Final answer
    x = 15,321.70

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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.