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Finding the Fourth Proportional to 31,361.40, 46,965.38 and 28,325.31

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Solution

The fourth proportional to 31,361.40, 46,965.38 and 28,325.31 is: 42,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,361.40 : 46,965.38 = 28,325.31 : x
  2. Step 2: Convert to fraction form
    31,361.40/46,965.38 = 28,325.31/x
  3. Step 3: Cross multiply
    31,361.40x = 46,965.38 × 28,325.31
  4. Step 4: Simplify right side
    31,361.40x = 1,330,308,806.14
  5. Step 5: Solve for x
    x = 1,330,308,806.14/31,361.40
  6. Step 6: Final answer
    x = 42,418.67

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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.