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Finding the Fourth Proportional to 30,578.28, 45,864.34 and 8,393.89

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Solution

The fourth proportional to 30,578.28, 45,864.34 and 8,393.89 is: 12,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.28 : 45,864.34 = 8,393.89 : x
  2. Step 2: Convert to fraction form
    30,578.28/45,864.34 = 8,393.89/x
  3. Step 3: Cross multiply
    30,578.28x = 45,864.34 × 8,393.89
  4. Step 4: Simplify right side
    30,578.28x = 384,980,224.88
  5. Step 5: Solve for x
    x = 384,980,224.88/30,578.28
  6. Step 6: Final answer
    x = 12,589.99

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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.