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Finding the Fourth Proportional to 36,571, 54,856.50 and 8,869

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Solution

The fourth proportional to 36,571, 54,856.50 and 8,869 is: 13,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,571 : 54,856.50 = 8,869 : x
  2. Step 2: Convert to fraction form
    36,571/54,856.50 = 8,869/x
  3. Step 3: Cross multiply
    36,571x = 54,856.50 × 8,869
  4. Step 4: Simplify right side
    36,571x = 486,522,298.50
  5. Step 5: Solve for x
    x = 486,522,298.50/36,571
  6. Step 6: Final answer
    x = 13,303.50

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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.