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Finding the Fourth Proportional to 30,576.13, 45,859.27 and 8,384.36

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Solution

The fourth proportional to 30,576.13, 45,859.27 and 8,384.36 is: 12,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.13 : 45,859.27 = 8,384.36 : x
  2. Step 2: Convert to fraction form
    30,576.13/45,859.27 = 8,384.36/x
  3. Step 3: Cross multiply
    30,576.13x = 45,859.27 × 8,384.36
  4. Step 4: Simplify right side
    30,576.13x = 384,500,629.02
  5. Step 5: Solve for x
    x = 384,500,629.02/30,576.13
  6. Step 6: Final answer
    x = 12,575.19

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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.