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Finding the Fourth Proportional to 31,510, 43,484.34 and 20,351.44

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Solution

The fourth proportional to 31,510, 43,484.34 and 20,351.44 is: 28,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510 : 43,484.34 = 20,351.44 : x
  2. Step 2: Convert to fraction form
    31,510/43,484.34 = 20,351.44/x
  3. Step 3: Cross multiply
    31,510x = 43,484.34 × 20,351.44
  4. Step 4: Simplify right side
    31,510x = 884,968,936.45
  5. Step 5: Solve for x
    x = 884,968,936.45/31,510
  6. Step 6: Final answer
    x = 28,085.34

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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.