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Finding the Fourth Proportional to 47,115.14, 65,020.12 and 25,894.96

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Solution

The fourth proportional to 47,115.14, 65,020.12 and 25,894.96 is: 35,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.14 : 65,020.12 = 25,894.96 : x
  2. Step 2: Convert to fraction form
    47,115.14/65,020.12 = 25,894.96/x
  3. Step 3: Cross multiply
    47,115.14x = 65,020.12 × 25,894.96
  4. Step 4: Simplify right side
    47,115.14x = 1,683,693,179.31
  5. Step 5: Solve for x
    x = 1,683,693,179.31/47,115.14
  6. Step 6: Final answer
    x = 35,735.72

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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.