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Finding the Fourth Proportional to 47,115.68, 65,020.84 and 25,895.48

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Solution

The fourth proportional to 47,115.68, 65,020.84 and 25,895.48 is: 35,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.68 : 65,020.84 = 25,895.48 : x
  2. Step 2: Convert to fraction form
    47,115.68/65,020.84 = 25,895.48/x
  3. Step 3: Cross multiply
    47,115.68x = 65,020.84 × 25,895.48
  4. Step 4: Simplify right side
    47,115.68x = 1,683,745,861.80
  5. Step 5: Solve for x
    x = 1,683,745,861.80/47,115.68
  6. Step 6: Final answer
    x = 35,736.42

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Why These Related Problems?

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