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Finding the Fourth Proportional to 47,906.74, 66,113.31 and 26,686

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Solution

The fourth proportional to 47,906.74, 66,113.31 and 26,686 is: 36,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,906.74 : 66,113.31 = 26,686 : x
  2. Step 2: Convert to fraction form
    47,906.74/66,113.31 = 26,686/x
  3. Step 3: Cross multiply
    47,906.74x = 66,113.31 × 26,686
  4. Step 4: Simplify right side
    47,906.74x = 1,764,299,790.66
  5. Step 5: Solve for x
    x = 1,764,299,790.66/47,906.74
  6. Step 6: Final answer
    x = 36,827.80

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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.