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Finding the Fourth Proportional to 33,721.98, 50,580.54 and 10,347

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Solution

The fourth proportional to 33,721.98, 50,580.54 and 10,347 is: 15,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,721.98 : 50,580.54 = 10,347 : x
  2. Step 2: Convert to fraction form
    33,721.98/50,580.54 = 10,347/x
  3. Step 3: Cross multiply
    33,721.98x = 50,580.54 × 10,347
  4. Step 4: Simplify right side
    33,721.98x = 523,356,847.38
  5. Step 5: Solve for x
    x = 523,356,847.38/33,721.98
  6. Step 6: Final answer
    x = 15,519.75

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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.