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Finding the Fourth Proportional to 69,473.24, 95,872.94 and 37,643

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Solution

The fourth proportional to 69,473.24, 95,872.94 and 37,643 is: 51,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,473.24 : 95,872.94 = 37,643 : x
  2. Step 2: Convert to fraction form
    69,473.24/95,872.94 = 37,643/x
  3. Step 3: Cross multiply
    69,473.24x = 95,872.94 × 37,643
  4. Step 4: Simplify right side
    69,473.24x = 3,608,945,080.42
  5. Step 5: Solve for x
    x = 3,608,945,080.42/69,473.24
  6. Step 6: Final answer
    x = 51,947.27

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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.