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Finding the Fourth Proportional to 31,970.30, 47,969.21 and 17,161.88

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Solution

The fourth proportional to 31,970.30, 47,969.21 and 17,161.88 is: 25,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.30 : 47,969.21 = 17,161.88 : x
  2. Step 2: Convert to fraction form
    31,970.30/47,969.21 = 17,161.88/x
  3. Step 3: Cross multiply
    31,970.30x = 47,969.21 × 17,161.88
  4. Step 4: Simplify right side
    31,970.30x = 823,241,628.77
  5. Step 5: Solve for x
    x = 823,241,628.77/31,970.30
  6. Step 6: Final answer
    x = 25,750.20

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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.