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Finding the Fourth Proportional to 30,971.50, 46,457.25 and 13,440.94

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Solution

The fourth proportional to 30,971.50, 46,457.25 and 13,440.94 is: 20,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.50 : 46,457.25 = 13,440.94 : x
  2. Step 2: Convert to fraction form
    30,971.50/46,457.25 = 13,440.94/x
  3. Step 3: Cross multiply
    30,971.50x = 46,457.25 × 13,440.94
  4. Step 4: Simplify right side
    30,971.50x = 624,428,943.27
  5. Step 5: Solve for x
    x = 624,428,943.27/30,971.50
  6. Step 6: Final answer
    x = 20,161.41

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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.