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Finding the Fourth Proportional to 69,494.32, 95,901.92 and 37,664

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Solution

The fourth proportional to 69,494.32, 95,901.92 and 37,664 is: 51,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,494.32 : 95,901.92 = 37,664 : x
  2. Step 2: Convert to fraction form
    69,494.32/95,901.92 = 37,664/x
  3. Step 3: Cross multiply
    69,494.32x = 95,901.92 × 37,664
  4. Step 4: Simplify right side
    69,494.32x = 3,612,049,914.88
  5. Step 5: Solve for x
    x = 3,612,049,914.88/69,494.32
  6. Step 6: Final answer
    x = 51,976.19

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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.