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Finding the Fourth Proportional to 29,823.92, 44,714 and 15,772.56

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Solution

The fourth proportional to 29,823.92, 44,714 and 15,772.56 is: 23,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823.92 : 44,714 = 15,772.56 : x
  2. Step 2: Convert to fraction form
    29,823.92/44,714 = 15,772.56/x
  3. Step 3: Cross multiply
    29,823.92x = 44,714 × 15,772.56
  4. Step 4: Simplify right side
    29,823.92x = 705,254,247.84
  5. Step 5: Solve for x
    x = 705,254,247.84/29,823.92
  6. Step 6: Final answer
    x = 23,647.27

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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.