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Finding the Fourth Proportional to 34,138.94, 51,173.22 and 13,073.23

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Solution

The fourth proportional to 34,138.94, 51,173.22 and 13,073.23 is: 19,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.94 : 51,173.22 = 13,073.23 : x
  2. Step 2: Convert to fraction form
    34,138.94/51,173.22 = 13,073.23/x
  3. Step 3: Cross multiply
    34,138.94x = 51,173.22 × 13,073.23
  4. Step 4: Simplify right side
    34,138.94x = 668,999,274.90
  5. Step 5: Solve for x
    x = 668,999,274.90/34,138.94
  6. Step 6: Final answer
    x = 19,596.37

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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.