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Finding the Fourth Proportional to 77,364.95, 115,839 and 50,644.67

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Solution

The fourth proportional to 77,364.95, 115,839 and 50,644.67 is: 75,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364.95 : 115,839 = 50,644.67 : x
  2. Step 2: Convert to fraction form
    77,364.95/115,839 = 50,644.67/x
  3. Step 3: Cross multiply
    77,364.95x = 115,839 × 50,644.67
  4. Step 4: Simplify right side
    77,364.95x = 5,866,627,348.94
  5. Step 5: Solve for x
    x = 5,866,627,348.94/77,364.95
  6. Step 6: Final answer
    x = 75,830.56

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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.