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Finding the Fourth Proportional to 30,431.50, 41,928.64 and 22,742.57

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Solution

The fourth proportional to 30,431.50, 41,928.64 and 22,742.57 is: 31,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.50 : 41,928.64 = 22,742.57 : x
  2. Step 2: Convert to fraction form
    30,431.50/41,928.64 = 22,742.57/x
  3. Step 3: Cross multiply
    30,431.50x = 41,928.64 × 22,742.57
  4. Step 4: Simplify right side
    30,431.50x = 953,565,078.17
  5. Step 5: Solve for x
    x = 953,565,078.17/30,431.50
  6. Step 6: Final answer
    x = 31,334.81

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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.