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Finding the Fourth Proportional to 69,144.96, 103,716.76 and 31,694.40

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Solution

The fourth proportional to 69,144.96, 103,716.76 and 31,694.40 is: 47,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144.96 : 103,716.76 = 31,694.40 : x
  2. Step 2: Convert to fraction form
    69,144.96/103,716.76 = 31,694.40/x
  3. Step 3: Cross multiply
    69,144.96x = 103,716.76 × 31,694.40
  4. Step 4: Simplify right side
    69,144.96x = 3,287,240,478.14
  5. Step 5: Solve for x
    x = 3,287,240,478.14/69,144.96
  6. Step 6: Final answer
    x = 47,541.29

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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.