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Finding the Fourth Proportional to 31,224.98, 46,832.94 and 11,499.05

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Solution

The fourth proportional to 31,224.98, 46,832.94 and 11,499.05 is: 17,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.98 : 46,832.94 = 11,499.05 : x
  2. Step 2: Convert to fraction form
    31,224.98/46,832.94 = 11,499.05/x
  3. Step 3: Cross multiply
    31,224.98x = 46,832.94 × 11,499.05
  4. Step 4: Simplify right side
    31,224.98x = 538,534,084.54
  5. Step 5: Solve for x
    x = 538,534,084.54/31,224.98
  6. Step 6: Final answer
    x = 17,246.90

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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.