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Finding the Fourth Proportional to 29,738.56, 44,610 and 8,963.68

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Solution

The fourth proportional to 29,738.56, 44,610 and 8,963.68 is: 13,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.56 : 44,610 = 8,963.68 : x
  2. Step 2: Convert to fraction form
    29,738.56/44,610 = 8,963.68/x
  3. Step 3: Cross multiply
    29,738.56x = 44,610 × 8,963.68
  4. Step 4: Simplify right side
    29,738.56x = 399,869,764.80
  5. Step 5: Solve for x
    x = 399,869,764.80/29,738.56
  6. Step 6: Final answer
    x = 13,446.17

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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.