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Finding the Fourth Proportional to 27,425.25, 41,138.01 and 6,648.75

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Solution

The fourth proportional to 27,425.25, 41,138.01 and 6,648.75 is: 9,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.25 : 41,138.01 = 6,648.75 : x
  2. Step 2: Convert to fraction form
    27,425.25/41,138.01 = 6,648.75/x
  3. Step 3: Cross multiply
    27,425.25x = 41,138.01 × 6,648.75
  4. Step 4: Simplify right side
    27,425.25x = 273,516,343.99
  5. Step 5: Solve for x
    x = 273,516,343.99/27,425.25
  6. Step 6: Final answer
    x = 9,973.16

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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.