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Finding the Fourth Proportional to 34,321.44, 51,444 and 14,616.48

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Solution

The fourth proportional to 34,321.44, 51,444 and 14,616.48 is: 21,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,321.44 : 51,444 = 14,616.48 : x
  2. Step 2: Convert to fraction form
    34,321.44/51,444 = 14,616.48/x
  3. Step 3: Cross multiply
    34,321.44x = 51,444 × 14,616.48
  4. Step 4: Simplify right side
    34,321.44x = 751,930,197.12
  5. Step 5: Solve for x
    x = 751,930,197.12/34,321.44
  6. Step 6: Final answer
    x = 21,908.47

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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.