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Finding the Fourth Proportional to 69,716.16, 104,580.72 and 22,969.44

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Solution

The fourth proportional to 69,716.16, 104,580.72 and 22,969.44 is: 34,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,716.16 : 104,580.72 = 22,969.44 : x
  2. Step 2: Convert to fraction form
    69,716.16/104,580.72 = 22,969.44/x
  3. Step 3: Cross multiply
    69,716.16x = 104,580.72 × 22,969.44
  4. Step 4: Simplify right side
    69,716.16x = 2,402,160,573.20
  5. Step 5: Solve for x
    x = 2,402,160,573.20/69,716.16
  6. Step 6: Final answer
    x = 34,456.29

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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.