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Finding the Fourth Proportional to 34,157.50, 51,236.15 and 11,970.84

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Solution

The fourth proportional to 34,157.50, 51,236.15 and 11,970.84 is: 17,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.50 : 51,236.15 = 11,970.84 : x
  2. Step 2: Convert to fraction form
    34,157.50/51,236.15 = 11,970.84/x
  3. Step 3: Cross multiply
    34,157.50x = 51,236.15 × 11,970.84
  4. Step 4: Simplify right side
    34,157.50x = 613,339,597.94
  5. Step 5: Solve for x
    x = 613,339,597.94/34,157.50
  6. Step 6: Final answer
    x = 17,956.22

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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.