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Finding the Fourth Proportional to 27,078.34, 40,620.75 and 9,544.54

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Solution

The fourth proportional to 27,078.34, 40,620.75 and 9,544.54 is: 14,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.34 : 40,620.75 = 9,544.54 : x
  2. Step 2: Convert to fraction form
    27,078.34/40,620.75 = 9,544.54/x
  3. Step 3: Cross multiply
    27,078.34x = 40,620.75 × 9,544.54
  4. Step 4: Simplify right side
    27,078.34x = 387,706,373.21
  5. Step 5: Solve for x
    x = 387,706,373.21/27,078.34
  6. Step 6: Final answer
    x = 14,317.95

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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.