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Finding the Fourth Proportional to 69,709.42, 96,198.81 and 37,878.43

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Solution

The fourth proportional to 69,709.42, 96,198.81 and 37,878.43 is: 52,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709.42 : 96,198.81 = 37,878.43 : x
  2. Step 2: Convert to fraction form
    69,709.42/96,198.81 = 37,878.43/x
  3. Step 3: Cross multiply
    69,709.42x = 96,198.81 × 37,878.43
  4. Step 4: Simplify right side
    69,709.42x = 3,643,859,890.67
  5. Step 5: Solve for x
    x = 3,643,859,890.67/69,709.42
  6. Step 6: Final answer
    x = 52,272.13

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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.