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Finding the Fourth Proportional to 29,868.96, 44,680.24 and 24,544

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Solution

The fourth proportional to 29,868.96, 44,680.24 and 24,544 is: 36,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868.96 : 44,680.24 = 24,544 : x
  2. Step 2: Convert to fraction form
    29,868.96/44,680.24 = 24,544/x
  3. Step 3: Cross multiply
    29,868.96x = 44,680.24 × 24,544
  4. Step 4: Simplify right side
    29,868.96x = 1,096,631,810.56
  5. Step 5: Solve for x
    x = 1,096,631,810.56/29,868.96
  6. Step 6: Final answer
    x = 36,714.76

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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.