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Finding the Fourth Proportional to 32,806.49, 45,224.55 and 23,216.58

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Solution

The fourth proportional to 32,806.49, 45,224.55 and 23,216.58 is: 32,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.49 : 45,224.55 = 23,216.58 : x
  2. Step 2: Convert to fraction form
    32,806.49/45,224.55 = 23,216.58/x
  3. Step 3: Cross multiply
    32,806.49x = 45,224.55 × 23,216.58
  4. Step 4: Simplify right side
    32,806.49x = 1,049,959,383.04
  5. Step 5: Solve for x
    x = 1,049,959,383.04/32,806.49
  6. Step 6: Final answer
    x = 32,004.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.