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Finding the Fourth Proportional to 31,091.30, 46,608.96 and 11,356.01

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Solution

The fourth proportional to 31,091.30, 46,608.96 and 11,356.01 is: 17,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,091.30 : 46,608.96 = 11,356.01 : x
  2. Step 2: Convert to fraction form
    31,091.30/46,608.96 = 11,356.01/x
  3. Step 3: Cross multiply
    31,091.30x = 46,608.96 × 11,356.01
  4. Step 4: Simplify right side
    31,091.30x = 529,291,815.85
  5. Step 5: Solve for x
    x = 529,291,815.85/31,091.30
  6. Step 6: Final answer
    x = 17,023.79

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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.