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Finding the Fourth Proportional to 77,134.50, 115,657.47 and 30,361.86

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Solution

The fourth proportional to 77,134.50, 115,657.47 and 30,361.86 is: 45,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,134.50 : 115,657.47 = 30,361.86 : x
  2. Step 2: Convert to fraction form
    77,134.50/115,657.47 = 30,361.86/x
  3. Step 3: Cross multiply
    77,134.50x = 115,657.47 × 30,361.86
  4. Step 4: Simplify right side
    77,134.50x = 3,511,575,912.09
  5. Step 5: Solve for x
    x = 3,511,575,912.09/77,134.50
  6. Step 6: Final answer
    x = 45,525.36

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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.