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Finding the Fourth Proportional to 30,224, 45,338.56 and 8,336

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Solution

The fourth proportional to 30,224, 45,338.56 and 8,336 is: 12,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224 : 45,338.56 = 8,336 : x
  2. Step 2: Convert to fraction form
    30,224/45,338.56 = 8,336/x
  3. Step 3: Cross multiply
    30,224x = 45,338.56 × 8,336
  4. Step 4: Simplify right side
    30,224x = 377,942,236.16
  5. Step 5: Solve for x
    x = 377,942,236.16/30,224
  6. Step 6: Final answer
    x = 12,504.71

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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.