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Finding the Fourth Proportional to 33,597.69, 50,381.94 and 10,218.66

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Solution

The fourth proportional to 33,597.69, 50,381.94 and 10,218.66 is: 15,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597.69 : 50,381.94 = 10,218.66 : x
  2. Step 2: Convert to fraction form
    33,597.69/50,381.94 = 10,218.66/x
  3. Step 3: Cross multiply
    33,597.69x = 50,381.94 × 10,218.66
  4. Step 4: Simplify right side
    33,597.69x = 514,835,915.00
  5. Step 5: Solve for x
    x = 514,835,915.00/33,597.69
  6. Step 6: Final answer
    x = 15,323.55

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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.