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Finding the Fourth Proportional to 30,616.44, 45,924.72 and 8,431.56

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Solution

The fourth proportional to 30,616.44, 45,924.72 and 8,431.56 is: 12,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.44 : 45,924.72 = 8,431.56 : x
  2. Step 2: Convert to fraction form
    30,616.44/45,924.72 = 8,431.56/x
  3. Step 3: Cross multiply
    30,616.44x = 45,924.72 × 8,431.56
  4. Step 4: Simplify right side
    30,616.44x = 387,217,032.16
  5. Step 5: Solve for x
    x = 387,217,032.16/30,616.44
  6. Step 6: Final answer
    x = 12,647.36

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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.