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Finding the Fourth Proportional to 34,240.50, 51,290.00 and 20,157.13

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Solution

The fourth proportional to 34,240.50, 51,290.00 and 20,157.13 is: 30,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240.50 : 51,290.00 = 20,157.13 : x
  2. Step 2: Convert to fraction form
    34,240.50/51,290.00 = 20,157.13/x
  3. Step 3: Cross multiply
    34,240.50x = 51,290.00 × 20,157.13
  4. Step 4: Simplify right side
    34,240.50x = 1,033,859,119.87
  5. Step 5: Solve for x
    x = 1,033,859,119.87/34,240.50
  6. Step 6: Final answer
    x = 30,194.04

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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.