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Finding the Fourth Proportional to 32,783.38, 49,163.00 and 11,717.73

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Solution

The fourth proportional to 32,783.38, 49,163.00 and 11,717.73 is: 17,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.38 : 49,163.00 = 11,717.73 : x
  2. Step 2: Convert to fraction form
    32,783.38/49,163.00 = 11,717.73/x
  3. Step 3: Cross multiply
    32,783.38x = 49,163.00 × 11,717.73
  4. Step 4: Simplify right side
    32,783.38x = 576,078,701.40
  5. Step 5: Solve for x
    x = 576,078,701.40/32,783.38
  6. Step 6: Final answer
    x = 17,572.28

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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.