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Finding the Fourth Proportional to 30,575.46, 45,863.25 and 8,389.14

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Solution

The fourth proportional to 30,575.46, 45,863.25 and 8,389.14 is: 12,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.46 : 45,863.25 = 8,389.14 : x
  2. Step 2: Convert to fraction form
    30,575.46/45,863.25 = 8,389.14/x
  3. Step 3: Cross multiply
    30,575.46x = 45,863.25 × 8,389.14
  4. Step 4: Simplify right side
    30,575.46x = 384,753,225.11
  5. Step 5: Solve for x
    x = 384,753,225.11/30,575.46
  6. Step 6: Final answer
    x = 12,583.73

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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.