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Finding the Fourth Proportional to 35,224.12, 52,842.12 and 11,845

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Solution

The fourth proportional to 35,224.12, 52,842.12 and 11,845 is: 17,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.12 : 52,842.12 = 11,845 : x
  2. Step 2: Convert to fraction form
    35,224.12/52,842.12 = 11,845/x
  3. Step 3: Cross multiply
    35,224.12x = 52,842.12 × 11,845
  4. Step 4: Simplify right side
    35,224.12x = 625,914,911.40
  5. Step 5: Solve for x
    x = 625,914,911.40/35,224.12
  6. Step 6: Final answer
    x = 17,769.50

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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.