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Finding the Fourth Proportional to 68,138.47, 102,224.58 and 32,626.81

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Solution

The fourth proportional to 68,138.47, 102,224.58 and 32,626.81 is: 48,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.47 : 102,224.58 = 32,626.81 : x
  2. Step 2: Convert to fraction form
    68,138.47/102,224.58 = 32,626.81/x
  3. Step 3: Cross multiply
    68,138.47x = 102,224.58 × 32,626.81
  4. Step 4: Simplify right side
    68,138.47x = 3,335,261,948.99
  5. Step 5: Solve for x
    x = 3,335,261,948.99/68,138.47
  6. Step 6: Final answer
    x = 48,948.30

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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.