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Finding the Fourth Proportional to 31,969.76, 44,119.14 and 17,825.36

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Solution

The fourth proportional to 31,969.76, 44,119.14 and 17,825.36 is: 24,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.76 : 44,119.14 = 17,825.36 : x
  2. Step 2: Convert to fraction form
    31,969.76/44,119.14 = 17,825.36/x
  3. Step 3: Cross multiply
    31,969.76x = 44,119.14 × 17,825.36
  4. Step 4: Simplify right side
    31,969.76x = 786,439,553.39
  5. Step 5: Solve for x
    x = 786,439,553.39/31,969.76
  6. Step 6: Final answer
    x = 24,599.48

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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.