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Finding the Fourth Proportional to 32,892.30, 49,338.35 and 11,832.30

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Solution

The fourth proportional to 32,892.30, 49,338.35 and 11,832.30 is: 17,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.30 : 49,338.35 = 11,832.30 : x
  2. Step 2: Convert to fraction form
    32,892.30/49,338.35 = 11,832.30/x
  3. Step 3: Cross multiply
    32,892.30x = 49,338.35 × 11,832.30
  4. Step 4: Simplify right side
    32,892.30x = 583,786,099.54
  5. Step 5: Solve for x
    x = 583,786,099.54/32,892.30
  6. Step 6: Final answer
    x = 17,748.41

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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.