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Finding the Fourth Proportional to 68,532.30, 102,652.56 and 32,941.44

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Solution

The fourth proportional to 68,532.30, 102,652.56 and 32,941.44 is: 49,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532.30 : 102,652.56 = 32,941.44 : x
  2. Step 2: Convert to fraction form
    68,532.30/102,652.56 = 32,941.44/x
  3. Step 3: Cross multiply
    68,532.30x = 102,652.56 × 32,941.44
  4. Step 4: Simplify right side
    68,532.30x = 3,381,523,146.09
  5. Step 5: Solve for x
    x = 3,381,523,146.09/68,532.30
  6. Step 6: Final answer
    x = 49,342.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.