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Finding the Fourth Proportional to 31,131.84, 46,660.80 and 11,403.84

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Solution

The fourth proportional to 31,131.84, 46,660.80 and 11,403.84 is: 17,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131.84 : 46,660.80 = 11,403.84 : x
  2. Step 2: Convert to fraction form
    31,131.84/46,660.80 = 11,403.84/x
  3. Step 3: Cross multiply
    31,131.84x = 46,660.80 × 11,403.84
  4. Step 4: Simplify right side
    31,131.84x = 532,112,297.47
  5. Step 5: Solve for x
    x = 532,112,297.47/31,131.84
  6. Step 6: Final answer
    x = 17,092.22

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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.