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Finding the Fourth Proportional to 31,453.72, 47,180.99 and 9,262.05

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Solution

The fourth proportional to 31,453.72, 47,180.99 and 9,262.05 is: 13,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,453.72 : 47,180.99 = 9,262.05 : x
  2. Step 2: Convert to fraction form
    31,453.72/47,180.99 = 9,262.05/x
  3. Step 3: Cross multiply
    31,453.72x = 47,180.99 × 9,262.05
  4. Step 4: Simplify right side
    31,453.72x = 436,992,642.12
  5. Step 5: Solve for x
    x = 436,992,642.12/31,453.72
  6. Step 6: Final answer
    x = 13,893.19

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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.