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Finding the Fourth Proportional to 69,786.64, 96,306.02 and 37,955.78

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Solution

The fourth proportional to 69,786.64, 96,306.02 and 37,955.78 is: 52,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,786.64 : 96,306.02 = 37,955.78 : x
  2. Step 2: Convert to fraction form
    69,786.64/96,306.02 = 37,955.78/x
  3. Step 3: Cross multiply
    69,786.64x = 96,306.02 × 37,955.78
  4. Step 4: Simplify right side
    69,786.64x = 3,655,370,107.80
  5. Step 5: Solve for x
    x = 3,655,370,107.80/69,786.64
  6. Step 6: Final answer
    x = 52,379.22

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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.