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Finding the Fourth Proportional to 100,626.44, 150,954.01 and 34,085.61

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Solution

The fourth proportional to 100,626.44, 150,954.01 and 34,085.61 is: 51,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,626.44 : 150,954.01 = 34,085.61 : x
  2. Step 2: Convert to fraction form
    100,626.44/150,954.01 = 34,085.61/x
  3. Step 3: Cross multiply
    100,626.44x = 150,954.01 × 34,085.61
  4. Step 4: Simplify right side
    100,626.44x = 5,145,359,427.58
  5. Step 5: Solve for x
    x = 5,145,359,427.58/100,626.44
  6. Step 6: Final answer
    x = 51,133.28

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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.