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Finding the Fourth Proportional to 29,431.98, 44,178.66 and 14,651.82

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Solution

The fourth proportional to 29,431.98, 44,178.66 and 14,651.82 is: 21,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.98 : 44,178.66 = 14,651.82 : x
  2. Step 2: Convert to fraction form
    29,431.98/44,178.66 = 14,651.82/x
  3. Step 3: Cross multiply
    29,431.98x = 44,178.66 × 14,651.82
  4. Step 4: Simplify right side
    29,431.98x = 647,297,774.16
  5. Step 5: Solve for x
    x = 647,297,774.16/29,431.98
  6. Step 6: Final answer
    x = 21,993.01

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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.