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Finding the Fourth Proportional to 32,822.64, 49,241.16 and 10,638.24

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Solution

The fourth proportional to 32,822.64, 49,241.16 and 10,638.24 is: 15,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.64 : 49,241.16 = 10,638.24 : x
  2. Step 2: Convert to fraction form
    32,822.64/49,241.16 = 10,638.24/x
  3. Step 3: Cross multiply
    32,822.64x = 49,241.16 × 10,638.24
  4. Step 4: Simplify right side
    32,822.64x = 523,839,277.96
  5. Step 5: Solve for x
    x = 523,839,277.96/32,822.64
  6. Step 6: Final answer
    x = 15,959.69

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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.