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Finding the Fourth Proportional to 31,802.40, 43,880.94 and 20,454.12

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Solution

The fourth proportional to 31,802.40, 43,880.94 and 20,454.12 is: 28,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.40 : 43,880.94 = 20,454.12 : x
  2. Step 2: Convert to fraction form
    31,802.40/43,880.94 = 20,454.12/x
  3. Step 3: Cross multiply
    31,802.40x = 43,880.94 × 20,454.12
  4. Step 4: Simplify right side
    31,802.40x = 897,546,012.47
  5. Step 5: Solve for x
    x = 897,546,012.47/31,802.40
  6. Step 6: Final answer
    x = 28,222.59

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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.