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Finding the Fourth Proportional to 29,467.32, 44,202.44 and 8,410.47

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Solution

The fourth proportional to 29,467.32, 44,202.44 and 8,410.47 is: 12,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.32 : 44,202.44 = 8,410.47 : x
  2. Step 2: Convert to fraction form
    29,467.32/44,202.44 = 8,410.47/x
  3. Step 3: Cross multiply
    29,467.32x = 44,202.44 × 8,410.47
  4. Step 4: Simplify right side
    29,467.32x = 371,763,295.55
  5. Step 5: Solve for x
    x = 371,763,295.55/29,467.32
  6. Step 6: Final answer
    x = 12,616.12

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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.