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Finding the Fourth Proportional to 31,317.88, 46,993.02 and 13,802.44

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Solution

The fourth proportional to 31,317.88, 46,993.02 and 13,802.44 is: 20,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,317.88 : 46,993.02 = 13,802.44 : x
  2. Step 2: Convert to fraction form
    31,317.88/46,993.02 = 13,802.44/x
  3. Step 3: Cross multiply
    31,317.88x = 46,993.02 × 13,802.44
  4. Step 4: Simplify right side
    31,317.88x = 648,618,338.97
  5. Step 5: Solve for x
    x = 648,618,338.97/31,317.88
  6. Step 6: Final answer
    x = 20,710.80

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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.