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Finding the Fourth Proportional to 69,649.92, 104,471.64 and 17,056.62

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Solution

The fourth proportional to 69,649.92, 104,471.64 and 17,056.62 is: 25,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,649.92 : 104,471.64 = 17,056.62 : x
  2. Step 2: Convert to fraction form
    69,649.92/104,471.64 = 17,056.62/x
  3. Step 3: Cross multiply
    69,649.92x = 104,471.64 × 17,056.62
  4. Step 4: Simplify right side
    69,649.92x = 1,781,933,064.26
  5. Step 5: Solve for x
    x = 1,781,933,064.26/69,649.92
  6. Step 6: Final answer
    x = 25,584.14

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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.