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Finding the Fourth Proportional to 29,824.36, 44,736.20 and 7,637.56

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Solution

The fourth proportional to 29,824.36, 44,736.20 and 7,637.56 is: 11,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.36 : 44,736.20 = 7,637.56 : x
  2. Step 2: Convert to fraction form
    29,824.36/44,736.20 = 7,637.56/x
  3. Step 3: Cross multiply
    29,824.36x = 44,736.20 × 7,637.56
  4. Step 4: Simplify right side
    29,824.36x = 341,675,411.67
  5. Step 5: Solve for x
    x = 341,675,411.67/29,824.36
  6. Step 6: Final answer
    x = 11,456.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.