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Finding the Fourth Proportional to 30,566.44, 45,853.74 and 12,094.12

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Solution

The fourth proportional to 30,566.44, 45,853.74 and 12,094.12 is: 18,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.44 : 45,853.74 = 12,094.12 : x
  2. Step 2: Convert to fraction form
    30,566.44/45,853.74 = 12,094.12/x
  3. Step 3: Cross multiply
    30,566.44x = 45,853.74 × 12,094.12
  4. Step 4: Simplify right side
    30,566.44x = 554,560,634.01
  5. Step 5: Solve for x
    x = 554,560,634.01/30,566.44
  6. Step 6: Final answer
    x = 18,142.79

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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.