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Finding the Fourth Proportional to 47,342, 65,338.44 and 27,470

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Solution

The fourth proportional to 47,342, 65,338.44 and 27,470 is: 37,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342 : 65,338.44 = 27,470 : x
  2. Step 2: Convert to fraction form
    47,342/65,338.44 = 27,470/x
  3. Step 3: Cross multiply
    47,342x = 65,338.44 × 27,470
  4. Step 4: Simplify right side
    47,342x = 1,794,846,946.80
  5. Step 5: Solve for x
    x = 1,794,846,946.80/47,342
  6. Step 6: Final answer
    x = 37,912.36

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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.