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Finding the Fourth Proportional to 47,115.68, 65,016.32 and 25,896.32

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Solution

The fourth proportional to 47,115.68, 65,016.32 and 25,896.32 is: 35,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.68 : 65,016.32 = 25,896.32 : x
  2. Step 2: Convert to fraction form
    47,115.68/65,016.32 = 25,896.32/x
  3. Step 3: Cross multiply
    47,115.68x = 65,016.32 × 25,896.32
  4. Step 4: Simplify right side
    47,115.68x = 1,683,683,427.94
  5. Step 5: Solve for x
    x = 1,683,683,427.94/47,115.68
  6. Step 6: Final answer
    x = 35,735.10

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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.