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Finding the Fourth Proportional to 27,869, 41,803.50 and 9,401

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Solution

The fourth proportional to 27,869, 41,803.50 and 9,401 is: 14,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869 : 41,803.50 = 9,401 : x
  2. Step 2: Convert to fraction form
    27,869/41,803.50 = 9,401/x
  3. Step 3: Cross multiply
    27,869x = 41,803.50 × 9,401
  4. Step 4: Simplify right side
    27,869x = 392,994,703.50
  5. Step 5: Solve for x
    x = 392,994,703.50/27,869
  6. Step 6: Final answer
    x = 14,101.50

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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.