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Finding the Fourth Proportional to 69,233.20, 103,811.40 and 27,633.20

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Solution

The fourth proportional to 69,233.20, 103,811.40 and 27,633.20 is: 41,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,233.20 : 103,811.40 = 27,633.20 : x
  2. Step 2: Convert to fraction form
    69,233.20/103,811.40 = 27,633.20/x
  3. Step 3: Cross multiply
    69,233.20x = 103,811.40 × 27,633.20
  4. Step 4: Simplify right side
    69,233.20x = 2,868,641,178.48
  5. Step 5: Solve for x
    x = 2,868,641,178.48/69,233.20
  6. Step 6: Final answer
    x = 41,434.47

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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.