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Finding the Fourth Proportional to 29,961.96, 41,522.30 and 29,539.14

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Solution

The fourth proportional to 29,961.96, 41,522.30 and 29,539.14 is: 40,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.96 : 41,522.30 = 29,539.14 : x
  2. Step 2: Convert to fraction form
    29,961.96/41,522.30 = 29,539.14/x
  3. Step 3: Cross multiply
    29,961.96x = 41,522.30 × 29,539.14
  4. Step 4: Simplify right side
    29,961.96x = 1,226,533,032.82
  5. Step 5: Solve for x
    x = 1,226,533,032.82/29,961.96
  6. Step 6: Final answer
    x = 40,936.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.