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Finding the Fourth Proportional to 68,471.08, 102,735.90 and 32,915.32

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Solution

The fourth proportional to 68,471.08, 102,735.90 and 32,915.32 is: 49,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.08 : 102,735.90 = 32,915.32 : x
  2. Step 2: Convert to fraction form
    68,471.08/102,735.90 = 32,915.32/x
  3. Step 3: Cross multiply
    68,471.08x = 102,735.90 × 32,915.32
  4. Step 4: Simplify right side
    68,471.08x = 3,381,585,023.99
  5. Step 5: Solve for x
    x = 3,381,585,023.99/68,471.08
  6. Step 6: Final answer
    x = 49,387.06

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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.