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Finding the Fourth Proportional to 32,214.92, 48,313.07 and 11,154.11

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Solution

The fourth proportional to 32,214.92, 48,313.07 and 11,154.11 is: 16,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.92 : 48,313.07 = 11,154.11 : x
  2. Step 2: Convert to fraction form
    32,214.92/48,313.07 = 11,154.11/x
  3. Step 3: Cross multiply
    32,214.92x = 48,313.07 × 11,154.11
  4. Step 4: Simplify right side
    32,214.92x = 538,889,297.22
  5. Step 5: Solve for x
    x = 538,889,297.22/32,214.92
  6. Step 6: Final answer
    x = 16,727.94

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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.