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Finding the Fourth Proportional to 31,212.36, 43,071.84 and 17,065.44

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Solution

The fourth proportional to 31,212.36, 43,071.84 and 17,065.44 is: 23,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.36 : 43,071.84 = 17,065.44 : x
  2. Step 2: Convert to fraction form
    31,212.36/43,071.84 = 17,065.44/x
  3. Step 3: Cross multiply
    31,212.36x = 43,071.84 × 17,065.44
  4. Step 4: Simplify right side
    31,212.36x = 735,039,901.21
  5. Step 5: Solve for x
    x = 735,039,901.21/31,212.36
  6. Step 6: Final answer
    x = 23,549.64

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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.