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Finding the Fourth Proportional to 39,715.08, 54,804.78 and 22,947

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Solution

The fourth proportional to 39,715.08, 54,804.78 and 22,947 is: 31,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,715.08 : 54,804.78 = 22,947 : x
  2. Step 2: Convert to fraction form
    39,715.08/54,804.78 = 22,947/x
  3. Step 3: Cross multiply
    39,715.08x = 54,804.78 × 22,947
  4. Step 4: Simplify right side
    39,715.08x = 1,257,605,286.66
  5. Step 5: Solve for x
    x = 1,257,605,286.66/39,715.08
  6. Step 6: Final answer
    x = 31,665.69

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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.