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Finding the Fourth Proportional to 47,009, 64,874.34 and 27,137

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Solution

The fourth proportional to 47,009, 64,874.34 and 27,137 is: 37,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,009 : 64,874.34 = 27,137 : x
  2. Step 2: Convert to fraction form
    47,009/64,874.34 = 27,137/x
  3. Step 3: Cross multiply
    47,009x = 64,874.34 × 27,137
  4. Step 4: Simplify right side
    47,009x = 1,760,494,964.58
  5. Step 5: Solve for x
    x = 1,760,494,964.58/47,009
  6. Step 6: Final answer
    x = 37,450.17

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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.