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Finding the Fourth Proportional to 33,969.24, 50,961.15 and 10,597.50

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Solution

The fourth proportional to 33,969.24, 50,961.15 and 10,597.50 is: 15,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969.24 : 50,961.15 = 10,597.50 : x
  2. Step 2: Convert to fraction form
    33,969.24/50,961.15 = 10,597.50/x
  3. Step 3: Cross multiply
    33,969.24x = 50,961.15 × 10,597.50
  4. Step 4: Simplify right side
    33,969.24x = 540,060,787.13
  5. Step 5: Solve for x
    x = 540,060,787.13/33,969.24
  6. Step 6: Final answer
    x = 15,898.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.