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Finding the Fourth Proportional to 68,122.82, 102,201.51 and 21,376.10

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Solution

The fourth proportional to 68,122.82, 102,201.51 and 21,376.10 is: 32,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,122.82 : 102,201.51 = 21,376.10 : x
  2. Step 2: Convert to fraction form
    68,122.82/102,201.51 = 21,376.10/x
  3. Step 3: Cross multiply
    68,122.82x = 102,201.51 × 21,376.10
  4. Step 4: Simplify right side
    68,122.82x = 2,184,669,697.91
  5. Step 5: Solve for x
    x = 2,184,669,697.91/68,122.82
  6. Step 6: Final answer
    x = 32,069.57

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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.