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Finding the Fourth Proportional to 55,137.32, 76,090.02 and 32,777

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Solution

The fourth proportional to 55,137.32, 76,090.02 and 32,777 is: 45,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137.32 : 76,090.02 = 32,777 : x
  2. Step 2: Convert to fraction form
    55,137.32/76,090.02 = 32,777/x
  3. Step 3: Cross multiply
    55,137.32x = 76,090.02 × 32,777
  4. Step 4: Simplify right side
    55,137.32x = 2,494,002,585.54
  5. Step 5: Solve for x
    x = 2,494,002,585.54/55,137.32
  6. Step 6: Final answer
    x = 45,232.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.