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Finding the Fourth Proportional to 76,361.37, 114,558.50 and 23,048.88

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Solution

The fourth proportional to 76,361.37, 114,558.50 and 23,048.88 is: 34,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,361.37 : 114,558.50 = 23,048.88 : x
  2. Step 2: Convert to fraction form
    76,361.37/114,558.50 = 23,048.88/x
  3. Step 3: Cross multiply
    76,361.37x = 114,558.50 × 23,048.88
  4. Step 4: Simplify right side
    76,361.37x = 2,640,445,119.48
  5. Step 5: Solve for x
    x = 2,640,445,119.48/76,361.37
  6. Step 6: Final answer
    x = 34,578.28

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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.