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Finding the Fourth Proportional to 69,099.32, 103,658.70 and 34,039.28

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Solution

The fourth proportional to 69,099.32, 103,658.70 and 34,039.28 is: 51,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,099.32 : 103,658.70 = 34,039.28 : x
  2. Step 2: Convert to fraction form
    69,099.32/103,658.70 = 34,039.28/x
  3. Step 3: Cross multiply
    69,099.32x = 103,658.70 × 34,039.28
  4. Step 4: Simplify right side
    69,099.32x = 3,528,467,513.74
  5. Step 5: Solve for x
    x = 3,528,467,513.74/69,099.32
  6. Step 6: Final answer
    x = 51,063.71

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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.