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Finding the Fourth Proportional to 34,771.50, 52,112.53 and 15,782.26

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Solution

The fourth proportional to 34,771.50, 52,112.53 and 15,782.26 is: 23,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.50 : 52,112.53 = 15,782.26 : x
  2. Step 2: Convert to fraction form
    34,771.50/52,112.53 = 15,782.26/x
  3. Step 3: Cross multiply
    34,771.50x = 52,112.53 × 15,782.26
  4. Step 4: Simplify right side
    34,771.50x = 822,453,497.72
  5. Step 5: Solve for x
    x = 822,453,497.72/34,771.50
  6. Step 6: Final answer
    x = 23,653.09

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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.