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Finding the Fourth Proportional to 30,576.12, 45,859.25 and 8,384.34

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Solution

The fourth proportional to 30,576.12, 45,859.25 and 8,384.34 is: 12,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.12 : 45,859.25 = 8,384.34 : x
  2. Step 2: Convert to fraction form
    30,576.12/45,859.25 = 8,384.34/x
  3. Step 3: Cross multiply
    30,576.12x = 45,859.25 × 8,384.34
  4. Step 4: Simplify right side
    30,576.12x = 384,499,544.15
  5. Step 5: Solve for x
    x = 384,499,544.15/30,576.12
  6. Step 6: Final answer
    x = 12,575.16

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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.