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Finding the Fourth Proportional to 41,807.75, 57,705.75 and 25,883.15

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Solution

The fourth proportional to 41,807.75, 57,705.75 and 25,883.15 is: 35,725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,807.75 : 57,705.75 = 25,883.15 : x
  2. Step 2: Convert to fraction form
    41,807.75/57,705.75 = 25,883.15/x
  3. Step 3: Cross multiply
    41,807.75x = 57,705.75 × 25,883.15
  4. Step 4: Simplify right side
    41,807.75x = 1,493,606,294.58
  5. Step 5: Solve for x
    x = 1,493,606,294.58/41,807.75
  6. Step 6: Final answer
    x = 35,725.59

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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.