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Finding the Fourth Proportional to 34,809.75, 52,223.27 and 10,185.75

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Solution

The fourth proportional to 34,809.75, 52,223.27 and 10,185.75 is: 15,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809.75 : 52,223.27 = 10,185.75 : x
  2. Step 2: Convert to fraction form
    34,809.75/52,223.27 = 10,185.75/x
  3. Step 3: Cross multiply
    34,809.75x = 52,223.27 × 10,185.75
  4. Step 4: Simplify right side
    34,809.75x = 531,933,121.47
  5. Step 5: Solve for x
    x = 531,933,121.47/34,809.75
  6. Step 6: Final answer
    x = 15,281.15

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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.