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Finding the Fourth Proportional to 31,969.37, 44,117.51 and 17,822.31

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Solution

The fourth proportional to 31,969.37, 44,117.51 and 17,822.31 is: 24,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.37 : 44,117.51 = 17,822.31 : x
  2. Step 2: Convert to fraction form
    31,969.37/44,117.51 = 17,822.31/x
  3. Step 3: Cross multiply
    31,969.37x = 44,117.51 × 17,822.31
  4. Step 4: Simplify right side
    31,969.37x = 786,275,850.54
  5. Step 5: Solve for x
    x = 786,275,850.54/31,969.37
  6. Step 6: Final answer
    x = 24,594.67

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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.