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Finding the Fourth Proportional to 30,741.49, 46,112.25 and 8,554.88

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Solution

The fourth proportional to 30,741.49, 46,112.25 and 8,554.88 is: 12,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.49 : 46,112.25 = 8,554.88 : x
  2. Step 2: Convert to fraction form
    30,741.49/46,112.25 = 8,554.88/x
  3. Step 3: Cross multiply
    30,741.49x = 46,112.25 × 8,554.88
  4. Step 4: Simplify right side
    30,741.49x = 394,484,912.64
  5. Step 5: Solve for x
    x = 394,484,912.64/30,741.49
  6. Step 6: Final answer
    x = 12,832.33

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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.