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Finding the Fourth Proportional to 31,219.35, 46,824.29 and 11,493.21

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Solution

The fourth proportional to 31,219.35, 46,824.29 and 11,493.21 is: 17,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,219.35 : 46,824.29 = 11,493.21 : x
  2. Step 2: Convert to fraction form
    31,219.35/46,824.29 = 11,493.21/x
  3. Step 3: Cross multiply
    31,219.35x = 46,824.29 × 11,493.21
  4. Step 4: Simplify right side
    31,219.35x = 538,161,398.07
  5. Step 5: Solve for x
    x = 538,161,398.07/31,219.35
  6. Step 6: Final answer
    x = 17,238.07

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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.