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Finding the Fourth Proportional to 33,414.69, 49,983.52 and 25,457

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Solution

The fourth proportional to 33,414.69, 49,983.52 and 25,457 is: 38,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.69 : 49,983.52 = 25,457 : x
  2. Step 2: Convert to fraction form
    33,414.69/49,983.52 = 25,457/x
  3. Step 3: Cross multiply
    33,414.69x = 49,983.52 × 25,457
  4. Step 4: Simplify right side
    33,414.69x = 1,272,430,468.64
  5. Step 5: Solve for x
    x = 1,272,430,468.64/33,414.69
  6. Step 6: Final answer
    x = 38,079.97

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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.