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Finding the Fourth Proportional to 47,396.92, 71,093.12 and 11,858.48

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Solution

The fourth proportional to 47,396.92, 71,093.12 and 11,858.48 is: 17,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,396.92 : 71,093.12 = 11,858.48 : x
  2. Step 2: Convert to fraction form
    47,396.92/71,093.12 = 11,858.48/x
  3. Step 3: Cross multiply
    47,396.92x = 71,093.12 × 11,858.48
  4. Step 4: Simplify right side
    47,396.92x = 843,056,341.66
  5. Step 5: Solve for x
    x = 843,056,341.66/47,396.92
  6. Step 6: Final answer
    x = 17,787.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.