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Finding the Fourth Proportional to 104,546, 156,747.72 and 34,415.12

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Solution

The fourth proportional to 104,546, 156,747.72 and 34,415.12 is: 51,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,546 : 156,747.72 = 34,415.12 : x
  2. Step 2: Convert to fraction form
    104,546/156,747.72 = 34,415.12/x
  3. Step 3: Cross multiply
    104,546x = 156,747.72 × 34,415.12
  4. Step 4: Simplify right side
    104,546x = 5,394,491,593.53
  5. Step 5: Solve for x
    x = 5,394,491,593.53/104,546
  6. Step 6: Final answer
    x = 51,599.22

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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.