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Finding the Fourth Proportional to 27,807.52, 41,706.96 and 8,082

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Solution

The fourth proportional to 27,807.52, 41,706.96 and 8,082 is: 12,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.52 : 41,706.96 = 8,082 : x
  2. Step 2: Convert to fraction form
    27,807.52/41,706.96 = 8,082/x
  3. Step 3: Cross multiply
    27,807.52x = 41,706.96 × 8,082
  4. Step 4: Simplify right side
    27,807.52x = 337,075,650.72
  5. Step 5: Solve for x
    x = 337,075,650.72/27,807.52
  6. Step 6: Final answer
    x = 12,121.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.