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Finding the Fourth Proportional to 31,183.40, 46,779.72 and 11,460.41

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Solution

The fourth proportional to 31,183.40, 46,779.72 and 11,460.41 is: 17,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.40 : 46,779.72 = 11,460.41 : x
  2. Step 2: Convert to fraction form
    31,183.40/46,779.72 = 11,460.41/x
  3. Step 3: Cross multiply
    31,183.40x = 46,779.72 × 11,460.41
  4. Step 4: Simplify right side
    31,183.40x = 536,114,536.99
  5. Step 5: Solve for x
    x = 536,114,536.99/31,183.40
  6. Step 6: Final answer
    x = 17,192.31

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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.