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Finding the Fourth Proportional to 33,102.81, 49,653 and 8,142.93

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Solution

The fourth proportional to 33,102.81, 49,653 and 8,142.93 is: 12,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.81 : 49,653 = 8,142.93 : x
  2. Step 2: Convert to fraction form
    33,102.81/49,653 = 8,142.93/x
  3. Step 3: Cross multiply
    33,102.81x = 49,653 × 8,142.93
  4. Step 4: Simplify right side
    33,102.81x = 404,320,903.29
  5. Step 5: Solve for x
    x = 404,320,903.29/33,102.81
  6. Step 6: Final answer
    x = 12,214.10

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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.