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Finding the Fourth Proportional to 30,540.46, 45,820.25 and 9,194.02

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Solution

The fourth proportional to 30,540.46, 45,820.25 and 9,194.02 is: 13,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.46 : 45,820.25 = 9,194.02 : x
  2. Step 2: Convert to fraction form
    30,540.46/45,820.25 = 9,194.02/x
  3. Step 3: Cross multiply
    30,540.46x = 45,820.25 × 9,194.02
  4. Step 4: Simplify right side
    30,540.46x = 421,272,203.34
  5. Step 5: Solve for x
    x = 421,272,203.34/30,540.46
  6. Step 6: Final answer
    x = 13,793.91

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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.