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Finding the Fourth Proportional to 31,181.32, 46,745.25 and 21,291.22

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Solution

The fourth proportional to 31,181.32, 46,745.25 and 21,291.22 is: 31,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181.32 : 46,745.25 = 21,291.22 : x
  2. Step 2: Convert to fraction form
    31,181.32/46,745.25 = 21,291.22/x
  3. Step 3: Cross multiply
    31,181.32x = 46,745.25 × 21,291.22
  4. Step 4: Simplify right side
    31,181.32x = 995,263,401.71
  5. Step 5: Solve for x
    x = 995,263,401.71/31,181.32
  6. Step 6: Final answer
    x = 31,918.58

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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.