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Finding the Fourth Proportional to 68,274.59, 102,276.72 and 32,201.65

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Solution

The fourth proportional to 68,274.59, 102,276.72 and 32,201.65 is: 48,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274.59 : 102,276.72 = 32,201.65 : x
  2. Step 2: Convert to fraction form
    68,274.59/102,276.72 = 32,201.65/x
  3. Step 3: Cross multiply
    68,274.59x = 102,276.72 × 32,201.65
  4. Step 4: Simplify right side
    68,274.59x = 3,293,478,884.90
  5. Step 5: Solve for x
    x = 3,293,478,884.90/68,274.59
  6. Step 6: Final answer
    x = 48,238.72

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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.