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Finding the Fourth Proportional to 68,334.42, 102,496.59 and 32,821.14

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Solution

The fourth proportional to 68,334.42, 102,496.59 and 32,821.14 is: 49,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,334.42 : 102,496.59 = 32,821.14 : x
  2. Step 2: Convert to fraction form
    68,334.42/102,496.59 = 32,821.14/x
  3. Step 3: Cross multiply
    68,334.42x = 102,496.59 × 32,821.14
  4. Step 4: Simplify right side
    68,334.42x = 3,364,054,929.91
  5. Step 5: Solve for x
    x = 3,364,054,929.91/68,334.42
  6. Step 6: Final answer
    x = 49,229.29

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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.