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Finding the Fourth Proportional to 31,017.99, 46,499.37 and 14,355.15

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Solution

The fourth proportional to 31,017.99, 46,499.37 and 14,355.15 is: 21,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.99 : 46,499.37 = 14,355.15 : x
  2. Step 2: Convert to fraction form
    31,017.99/46,499.37 = 14,355.15/x
  3. Step 3: Cross multiply
    31,017.99x = 46,499.37 × 14,355.15
  4. Step 4: Simplify right side
    31,017.99x = 667,505,431.26
  5. Step 5: Solve for x
    x = 667,505,431.26/31,017.99
  6. Step 6: Final answer
    x = 21,519.94

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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.