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Finding the Fourth Proportional to 34,131.70, 51,193.88 and 11,945.49

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Solution

The fourth proportional to 34,131.70, 51,193.88 and 11,945.49 is: 17,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,131.70 : 51,193.88 = 11,945.49 : x
  2. Step 2: Convert to fraction form
    34,131.70/51,193.88 = 11,945.49/x
  3. Step 3: Cross multiply
    34,131.70x = 51,193.88 × 11,945.49
  4. Step 4: Simplify right side
    34,131.70x = 611,535,981.60
  5. Step 5: Solve for x
    x = 611,535,981.60/34,131.70
  6. Step 6: Final answer
    x = 17,916.95

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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.