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Finding the Fourth Proportional to 31,534.70, 43,518.22 and 17,194.41

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Solution

The fourth proportional to 31,534.70, 43,518.22 and 17,194.41 is: 23,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.70 : 43,518.22 = 17,194.41 : x
  2. Step 2: Convert to fraction form
    31,534.70/43,518.22 = 17,194.41/x
  3. Step 3: Cross multiply
    31,534.70x = 43,518.22 × 17,194.41
  4. Step 4: Simplify right side
    31,534.70x = 748,270,117.15
  5. Step 5: Solve for x
    x = 748,270,117.15/31,534.70
  6. Step 6: Final answer
    x = 23,728.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.