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Finding the Fourth Proportional to 69,856.17, 104,804.67 and 22,470.20

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Solution

The fourth proportional to 69,856.17, 104,804.67 and 22,470.20 is: 33,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,856.17 : 104,804.67 = 22,470.20 : x
  2. Step 2: Convert to fraction form
    69,856.17/104,804.67 = 22,470.20/x
  3. Step 3: Cross multiply
    69,856.17x = 104,804.67 × 22,470.20
  4. Step 4: Simplify right side
    69,856.17x = 2,354,981,371.81
  5. Step 5: Solve for x
    x = 2,354,981,371.81/69,856.17
  6. Step 6: Final answer
    x = 33,711.86

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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.