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Finding the Fourth Proportional to 29,601, 44,401.50 and 7,713

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Solution

The fourth proportional to 29,601, 44,401.50 and 7,713 is: 11,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601 : 44,401.50 = 7,713 : x
  2. Step 2: Convert to fraction form
    29,601/44,401.50 = 7,713/x
  3. Step 3: Cross multiply
    29,601x = 44,401.50 × 7,713
  4. Step 4: Simplify right side
    29,601x = 342,468,769.50
  5. Step 5: Solve for x
    x = 342,468,769.50/29,601
  6. Step 6: Final answer
    x = 11,569.50

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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.