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Finding the Fourth Proportional to 30,331.46, 45,497.20 and 11,850.50

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Solution

The fourth proportional to 30,331.46, 45,497.20 and 11,850.50 is: 17,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.46 : 45,497.20 = 11,850.50 : x
  2. Step 2: Convert to fraction form
    30,331.46/45,497.20 = 11,850.50/x
  3. Step 3: Cross multiply
    30,331.46x = 45,497.20 × 11,850.50
  4. Step 4: Simplify right side
    30,331.46x = 539,164,568.60
  5. Step 5: Solve for x
    x = 539,164,568.60/30,331.46
  6. Step 6: Final answer
    x = 17,775.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.