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Finding the Fourth Proportional to 69,616.26, 104,434.11 and 34,546.50

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Solution

The fourth proportional to 69,616.26, 104,434.11 and 34,546.50 is: 51,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,616.26 : 104,434.11 = 34,546.50 : x
  2. Step 2: Convert to fraction form
    69,616.26/104,434.11 = 34,546.50/x
  3. Step 3: Cross multiply
    69,616.26x = 104,434.11 × 34,546.50
  4. Step 4: Simplify right side
    69,616.26x = 3,607,832,981.12
  5. Step 5: Solve for x
    x = 3,607,832,981.12/69,616.26
  6. Step 6: Final answer
    x = 51,824.57

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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.