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Finding the Fourth Proportional to 36,619, 54,928.50 and 14,731

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Solution

The fourth proportional to 36,619, 54,928.50 and 14,731 is: 22,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,619 : 54,928.50 = 14,731 : x
  2. Step 2: Convert to fraction form
    36,619/54,928.50 = 14,731/x
  3. Step 3: Cross multiply
    36,619x = 54,928.50 × 14,731
  4. Step 4: Simplify right side
    36,619x = 809,151,733.50
  5. Step 5: Solve for x
    x = 809,151,733.50/36,619
  6. Step 6: Final answer
    x = 22,096.50

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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.