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Finding the Fourth Proportional to 31,450.66, 43,401 and 17,303.50

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Solution

The fourth proportional to 31,450.66, 43,401 and 17,303.50 is: 23,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,450.66 : 43,401 = 17,303.50 : x
  2. Step 2: Convert to fraction form
    31,450.66/43,401 = 17,303.50/x
  3. Step 3: Cross multiply
    31,450.66x = 43,401 × 17,303.50
  4. Step 4: Simplify right side
    31,450.66x = 750,989,203.50
  5. Step 5: Solve for x
    x = 750,989,203.50/31,450.66
  6. Step 6: Final answer
    x = 23,878.33

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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.