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Finding the Fourth Proportional to 27,850.34, 41,776.89 and 10,316.07

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Solution

The fourth proportional to 27,850.34, 41,776.89 and 10,316.07 is: 15,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.34 : 41,776.89 = 10,316.07 : x
  2. Step 2: Convert to fraction form
    27,850.34/41,776.89 = 10,316.07/x
  3. Step 3: Cross multiply
    27,850.34x = 41,776.89 × 10,316.07
  4. Step 4: Simplify right side
    27,850.34x = 430,973,282.94
  5. Step 5: Solve for x
    x = 430,973,282.94/27,850.34
  6. Step 6: Final answer
    x = 15,474.61

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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.