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Finding the Fourth Proportional to 69,382, 104,096.36 and 22,004.80

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Solution

The fourth proportional to 69,382, 104,096.36 and 22,004.80 is: 33,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,382 : 104,096.36 = 22,004.80 : x
  2. Step 2: Convert to fraction form
    69,382/104,096.36 = 22,004.80/x
  3. Step 3: Cross multiply
    69,382x = 104,096.36 × 22,004.80
  4. Step 4: Simplify right side
    69,382x = 2,290,619,582.53
  5. Step 5: Solve for x
    x = 2,290,619,582.53/69,382
  6. Step 6: Final answer
    x = 33,014.61

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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.