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Finding the Fourth Proportional to 31,173.97, 46,762.34 and 11,441.76

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Solution

The fourth proportional to 31,173.97, 46,762.34 and 11,441.76 is: 17,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,173.97 : 46,762.34 = 11,441.76 : x
  2. Step 2: Convert to fraction form
    31,173.97/46,762.34 = 11,441.76/x
  3. Step 3: Cross multiply
    31,173.97x = 46,762.34 × 11,441.76
  4. Step 4: Simplify right side
    31,173.97x = 535,043,471.32
  5. Step 5: Solve for x
    x = 535,043,471.32/31,173.97
  6. Step 6: Final answer
    x = 17,163.15

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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.