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Finding the Fourth Proportional to 69,394.72, 95,764.96 and 37,564

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Solution

The fourth proportional to 69,394.72, 95,764.96 and 37,564 is: 51,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,394.72 : 95,764.96 = 37,564 : x
  2. Step 2: Convert to fraction form
    69,394.72/95,764.96 = 37,564/x
  3. Step 3: Cross multiply
    69,394.72x = 95,764.96 × 37,564
  4. Step 4: Simplify right side
    69,394.72x = 3,597,314,957.44
  5. Step 5: Solve for x
    x = 3,597,314,957.44/69,394.72
  6. Step 6: Final answer
    x = 51,838.45

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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.