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Finding the Fourth Proportional to 30,570.45, 45,855.74 and 8,384.14

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Solution

The fourth proportional to 30,570.45, 45,855.74 and 8,384.14 is: 12,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.45 : 45,855.74 = 8,384.14 : x
  2. Step 2: Convert to fraction form
    30,570.45/45,855.74 = 8,384.14/x
  3. Step 3: Cross multiply
    30,570.45x = 45,855.74 × 8,384.14
  4. Step 4: Simplify right side
    30,570.45x = 384,460,943.96
  5. Step 5: Solve for x
    x = 384,460,943.96/30,570.45
  6. Step 6: Final answer
    x = 12,576.23

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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.