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Finding the Fourth Proportional to 69,782.92, 96,302.42 and 37,953.87

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Solution

The fourth proportional to 69,782.92, 96,302.42 and 37,953.87 is: 52,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782.92 : 96,302.42 = 37,953.87 : x
  2. Step 2: Convert to fraction form
    69,782.92/96,302.42 = 37,953.87/x
  3. Step 3: Cross multiply
    69,782.92x = 96,302.42 × 37,953.87
  4. Step 4: Simplify right side
    69,782.92x = 3,655,049,120.79
  5. Step 5: Solve for x
    x = 3,655,049,120.79/69,782.92
  6. Step 6: Final answer
    x = 52,377.42

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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.