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Finding the Fourth Proportional to 30,912.45, 46,372.31 and 9,845.12

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Solution

The fourth proportional to 30,912.45, 46,372.31 and 9,845.12 is: 14,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.45 : 46,372.31 = 9,845.12 : x
  2. Step 2: Convert to fraction form
    30,912.45/46,372.31 = 9,845.12/x
  3. Step 3: Cross multiply
    30,912.45x = 46,372.31 × 9,845.12
  4. Step 4: Simplify right side
    30,912.45x = 456,540,956.63
  5. Step 5: Solve for x
    x = 456,540,956.63/30,912.45
  6. Step 6: Final answer
    x = 14,768.84

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1.5x scale

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.