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Finding the Fourth Proportional to 47,896.32, 66,097 and 26,676.34

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Solution

The fourth proportional to 47,896.32, 66,097 and 26,676.34 is: 36,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896.32 : 66,097 = 26,676.34 : x
  2. Step 2: Convert to fraction form
    47,896.32/66,097 = 26,676.34/x
  3. Step 3: Cross multiply
    47,896.32x = 66,097 × 26,676.34
  4. Step 4: Simplify right side
    47,896.32x = 1,763,226,044.98
  5. Step 5: Solve for x
    x = 1,763,226,044.98/47,896.32
  6. Step 6: Final answer
    x = 36,813.39

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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.