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Finding the Fourth Proportional to 30,819.50, 46,236.94 and 8,931.50

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Solution

The fourth proportional to 30,819.50, 46,236.94 and 8,931.50 is: 13,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.50 : 46,236.94 = 8,931.50 : x
  2. Step 2: Convert to fraction form
    30,819.50/46,236.94 = 8,931.50/x
  3. Step 3: Cross multiply
    30,819.50x = 46,236.94 × 8,931.50
  4. Step 4: Simplify right side
    30,819.50x = 412,965,229.61
  5. Step 5: Solve for x
    x = 412,965,229.61/30,819.50
  6. Step 6: Final answer
    x = 13,399.48

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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.