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Finding the Fourth Proportional to 20,224, 30,341.12 and 5,632

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Solution

The fourth proportional to 20,224, 30,341.12 and 5,632 is: 8,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 30,341.12 = 5,632 : x
  2. Step 2: Convert to fraction form
    20,224/30,341.12 = 5,632/x
  3. Step 3: Cross multiply
    20,224x = 30,341.12 × 5,632
  4. Step 4: Simplify right side
    20,224x = 170,881,187.84
  5. Step 5: Solve for x
    x = 170,881,187.84/20,224
  6. Step 6: Final answer
    x = 8,449.43

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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.