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Finding the Fourth Proportional to 68,051.84, 102,011.22 and 30,621.33

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Solution

The fourth proportional to 68,051.84, 102,011.22 and 30,621.33 is: 45,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051.84 : 102,011.22 = 30,621.33 : x
  2. Step 2: Convert to fraction form
    68,051.84/102,011.22 = 30,621.33/x
  3. Step 3: Cross multiply
    68,051.84x = 102,011.22 × 30,621.33
  4. Step 4: Simplify right side
    68,051.84x = 3,123,719,231.32
  5. Step 5: Solve for x
    x = 3,123,719,231.32/68,051.84
  6. Step 6: Final answer
    x = 45,902.06

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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.