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Finding the Fourth Proportional to 75,762.39, 113,544.48 and 54,772.66

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Solution

The fourth proportional to 75,762.39, 113,544.48 and 54,772.66 is: 82,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762.39 : 113,544.48 = 54,772.66 : x
  2. Step 2: Convert to fraction form
    75,762.39/113,544.48 = 54,772.66/x
  3. Step 3: Cross multiply
    75,762.39x = 113,544.48 × 54,772.66
  4. Step 4: Simplify right side
    75,762.39x = 6,219,132,906.56
  5. Step 5: Solve for x
    x = 6,219,132,906.56/75,762.39
  6. Step 6: Final answer
    x = 82,087.34

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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.