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Finding the Fourth Proportional to 29,942, 44,912.82 and 7,755.32

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Solution

The fourth proportional to 29,942, 44,912.82 and 7,755.32 is: 11,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942 : 44,912.82 = 7,755.32 : x
  2. Step 2: Convert to fraction form
    29,942/44,912.82 = 7,755.32/x
  3. Step 3: Cross multiply
    29,942x = 44,912.82 × 7,755.32
  4. Step 4: Simplify right side
    29,942x = 348,313,291.20
  5. Step 5: Solve for x
    x = 348,313,291.20/29,942
  6. Step 6: Final answer
    x = 11,632.93

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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.