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Finding the Fourth Proportional to 31,745.44, 47,202.65 and 30,416.74

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Solution

The fourth proportional to 31,745.44, 47,202.65 and 30,416.74 is: 45,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.44 : 47,202.65 = 30,416.74 : x
  2. Step 2: Convert to fraction form
    31,745.44/47,202.65 = 30,416.74/x
  3. Step 3: Cross multiply
    31,745.44x = 47,202.65 × 30,416.74
  4. Step 4: Simplify right side
    31,745.44x = 1,435,750,732.36
  5. Step 5: Solve for x
    x = 1,435,750,732.36/31,745.44
  6. Step 6: Final answer
    x = 45,226.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.