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Finding the Fourth Proportional to 32,783.62, 49,163.37 and 11,717.97

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Solution

The fourth proportional to 32,783.62, 49,163.37 and 11,717.97 is: 17,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.62 : 49,163.37 = 11,717.97 : x
  2. Step 2: Convert to fraction form
    32,783.62/49,163.37 = 11,717.97/x
  3. Step 3: Cross multiply
    32,783.62x = 49,163.37 × 11,717.97
  4. Step 4: Simplify right side
    32,783.62x = 576,094,894.76
  5. Step 5: Solve for x
    x = 576,094,894.76/32,783.62
  6. Step 6: Final answer
    x = 17,572.64

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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.