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Finding the Fourth Proportional to 32,783.82, 49,164.57 and 13,057.02

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Solution

The fourth proportional to 32,783.82, 49,164.57 and 13,057.02 is: 19,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.82 : 49,164.57 = 13,057.02 : x
  2. Step 2: Convert to fraction form
    32,783.82/49,164.57 = 13,057.02/x
  3. Step 3: Cross multiply
    32,783.82x = 49,164.57 × 13,057.02
  4. Step 4: Simplify right side
    32,783.82x = 641,942,773.78
  5. Step 5: Solve for x
    x = 641,942,773.78/32,783.82
  6. Step 6: Final answer
    x = 19,581.09

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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.