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Finding the Fourth Proportional to 54,840.36, 75,675.12 and 32,177

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Solution

The fourth proportional to 54,840.36, 75,675.12 and 32,177 is: 44,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840.36 : 75,675.12 = 32,177 : x
  2. Step 2: Convert to fraction form
    54,840.36/75,675.12 = 32,177/x
  3. Step 3: Cross multiply
    54,840.36x = 75,675.12 × 32,177
  4. Step 4: Simplify right side
    54,840.36x = 2,434,998,336.24
  5. Step 5: Solve for x
    x = 2,434,998,336.24/54,840.36
  6. Step 6: Final answer
    x = 44,401.57

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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.