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Finding the Fourth Proportional to 47,696.96, 65,824.92 and 27,554.69

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Solution

The fourth proportional to 47,696.96, 65,824.92 and 27,554.69 is: 38,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.96 : 65,824.92 = 27,554.69 : x
  2. Step 2: Convert to fraction form
    47,696.96/65,824.92 = 27,554.69/x
  3. Step 3: Cross multiply
    47,696.96x = 65,824.92 × 27,554.69
  4. Step 4: Simplify right side
    47,696.96x = 1,813,785,429.44
  5. Step 5: Solve for x
    x = 1,813,785,429.44/47,696.96
  6. Step 6: Final answer
    x = 38,027.27

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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.