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Finding the Fourth Proportional to 69,124.53, 103,686.09 and 31,673.97

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Solution

The fourth proportional to 69,124.53, 103,686.09 and 31,673.97 is: 47,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,124.53 : 103,686.09 = 31,673.97 : x
  2. Step 2: Convert to fraction form
    69,124.53/103,686.09 = 31,673.97/x
  3. Step 3: Cross multiply
    69,124.53x = 103,686.09 × 31,673.97
  4. Step 4: Simplify right side
    69,124.53x = 3,284,150,104.08
  5. Step 5: Solve for x
    x = 3,284,150,104.08/69,124.53
  6. Step 6: Final answer
    x = 47,510.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.