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Finding the Fourth Proportional to 27,850.46, 41,782.18 and 9,129.34

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Solution

The fourth proportional to 27,850.46, 41,782.18 and 9,129.34 is: 13,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.46 : 41,782.18 = 9,129.34 : x
  2. Step 2: Convert to fraction form
    27,850.46/41,782.18 = 9,129.34/x
  3. Step 3: Cross multiply
    27,850.46x = 41,782.18 × 9,129.34
  4. Step 4: Simplify right side
    27,850.46x = 381,443,727.16
  5. Step 5: Solve for x
    x = 381,443,727.16/27,850.46
  6. Step 6: Final answer
    x = 13,696.14

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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.