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Finding the Fourth Proportional to 49,662.72, 68,535.72 and 27,003

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Solution

The fourth proportional to 49,662.72, 68,535.72 and 27,003 is: 37,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,662.72 : 68,535.72 = 27,003 : x
  2. Step 2: Convert to fraction form
    49,662.72/68,535.72 = 27,003/x
  3. Step 3: Cross multiply
    49,662.72x = 68,535.72 × 27,003
  4. Step 4: Simplify right side
    49,662.72x = 1,850,670,047.16
  5. Step 5: Solve for x
    x = 1,850,670,047.16/49,662.72
  6. Step 6: Final answer
    x = 37,264.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.