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Finding the Fourth Proportional to 30,971.46, 46,462.41 and 14,324.70

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Solution

The fourth proportional to 30,971.46, 46,462.41 and 14,324.70 is: 21,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.46 : 46,462.41 = 14,324.70 : x
  2. Step 2: Convert to fraction form
    30,971.46/46,462.41 = 14,324.70/x
  3. Step 3: Cross multiply
    30,971.46x = 46,462.41 × 14,324.70
  4. Step 4: Simplify right side
    30,971.46x = 665,560,084.53
  5. Step 5: Solve for x
    x = 665,560,084.53/30,971.46
  6. Step 6: Final answer
    x = 21,489.46

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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.