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Finding the Fourth Proportional to 30,431.64, 45,647.19 and 8,247.30

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Solution

The fourth proportional to 30,431.64, 45,647.19 and 8,247.30 is: 12,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.64 : 45,647.19 = 8,247.30 : x
  2. Step 2: Convert to fraction form
    30,431.64/45,647.19 = 8,247.30/x
  3. Step 3: Cross multiply
    30,431.64x = 45,647.19 × 8,247.30
  4. Step 4: Simplify right side
    30,431.64x = 376,466,070.09
  5. Step 5: Solve for x
    x = 376,466,070.09/30,431.64
  6. Step 6: Final answer
    x = 12,370.88

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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.