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Finding the Fourth Proportional to 68,224.92, 102,148.44 and 34,873.20

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Solution

The fourth proportional to 68,224.92, 102,148.44 and 34,873.20 is: 52,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224.92 : 102,148.44 = 34,873.20 : x
  2. Step 2: Convert to fraction form
    68,224.92/102,148.44 = 34,873.20/x
  3. Step 3: Cross multiply
    68,224.92x = 102,148.44 × 34,873.20
  4. Step 4: Simplify right side
    68,224.92x = 3,562,242,977.81
  5. Step 5: Solve for x
    x = 3,562,242,977.81/68,224.92
  6. Step 6: Final answer
    x = 52,213.22

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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.