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Finding the Fourth Proportional to 30,480.98, 45,725.72 and 9,422.73

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Solution

The fourth proportional to 30,480.98, 45,725.72 and 9,422.73 is: 14,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480.98 : 45,725.72 = 9,422.73 : x
  2. Step 2: Convert to fraction form
    30,480.98/45,725.72 = 9,422.73/x
  3. Step 3: Cross multiply
    30,480.98x = 45,725.72 × 9,422.73
  4. Step 4: Simplify right side
    30,480.98x = 430,861,066.50
  5. Step 5: Solve for x
    x = 430,861,066.50/30,480.98
  6. Step 6: Final answer
    x = 14,135.41

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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.