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Finding the Fourth Proportional to 33,276.41, 49,897.74 and 11,082

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Solution

The fourth proportional to 33,276.41, 49,897.74 and 11,082 is: 16,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,276.41 : 49,897.74 = 11,082 : x
  2. Step 2: Convert to fraction form
    33,276.41/49,897.74 = 11,082/x
  3. Step 3: Cross multiply
    33,276.41x = 49,897.74 × 11,082
  4. Step 4: Simplify right side
    33,276.41x = 552,966,754.68
  5. Step 5: Solve for x
    x = 552,966,754.68/33,276.41
  6. Step 6: Final answer
    x = 16,617.38

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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.