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Finding the Fourth Proportional to 31,314.46, 43,216.68 and 17,170

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Solution

The fourth proportional to 31,314.46, 43,216.68 and 17,170 is: 23,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.46 : 43,216.68 = 17,170 : x
  2. Step 2: Convert to fraction form
    31,314.46/43,216.68 = 17,170/x
  3. Step 3: Cross multiply
    31,314.46x = 43,216.68 × 17,170
  4. Step 4: Simplify right side
    31,314.46x = 742,030,395.60
  5. Step 5: Solve for x
    x = 742,030,395.60/31,314.46
  6. Step 6: Final answer
    x = 23,696.09

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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.