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Finding the Fourth Proportional to 45,906.30, 68,728.05 and 28,257.30

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Solution

The fourth proportional to 45,906.30, 68,728.05 and 28,257.30 is: 42,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906.30 : 68,728.05 = 28,257.30 : x
  2. Step 2: Convert to fraction form
    45,906.30/68,728.05 = 28,257.30/x
  3. Step 3: Cross multiply
    45,906.30x = 68,728.05 × 28,257.30
  4. Step 4: Simplify right side
    45,906.30x = 1,942,069,127.27
  5. Step 5: Solve for x
    x = 1,942,069,127.27/45,906.30
  6. Step 6: Final answer
    x = 42,305.07

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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.