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Finding the Fourth Proportional to 35,188.97, 52,750.64 and 11,799

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Solution

The fourth proportional to 35,188.97, 52,750.64 and 11,799 is: 17,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,188.97 : 52,750.64 = 11,799 : x
  2. Step 2: Convert to fraction form
    35,188.97/52,750.64 = 11,799/x
  3. Step 3: Cross multiply
    35,188.97x = 52,750.64 × 11,799
  4. Step 4: Simplify right side
    35,188.97x = 622,404,830.86
  5. Step 5: Solve for x
    x = 622,404,830.86/35,188.97
  6. Step 6: Final answer
    x = 17,687.50

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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.