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Finding the Fourth Proportional to 100,636.74, 150,945.84 and 34,069.26

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Solution

The fourth proportional to 100,636.74, 150,945.84 and 34,069.26 is: 51,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,636.74 : 150,945.84 = 34,069.26 : x
  2. Step 2: Convert to fraction form
    100,636.74/150,945.84 = 34,069.26/x
  3. Step 3: Cross multiply
    100,636.74x = 150,945.84 × 34,069.26
  4. Step 4: Simplify right side
    100,636.74x = 5,142,613,068.88
  5. Step 5: Solve for x
    x = 5,142,613,068.88/100,636.74
  6. Step 6: Final answer
    x = 51,100.75

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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.