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Finding the Fourth Proportional to 30,425.41, 45,642.44 and 9,367.20

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Solution

The fourth proportional to 30,425.41, 45,642.44 and 9,367.20 is: 14,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425.41 : 45,642.44 = 9,367.20 : x
  2. Step 2: Convert to fraction form
    30,425.41/45,642.44 = 9,367.20/x
  3. Step 3: Cross multiply
    30,425.41x = 45,642.44 × 9,367.20
  4. Step 4: Simplify right side
    30,425.41x = 427,541,863.97
  5. Step 5: Solve for x
    x = 427,541,863.97/30,425.41
  6. Step 6: Final answer
    x = 14,052.13

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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.