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Finding the Fourth Proportional to 31,683.93, 43,706.28 and 20,340.69

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Solution

The fourth proportional to 31,683.93, 43,706.28 and 20,340.69 is: 28,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.93 : 43,706.28 = 20,340.69 : x
  2. Step 2: Convert to fraction form
    31,683.93/43,706.28 = 20,340.69/x
  3. Step 3: Cross multiply
    31,683.93x = 43,706.28 × 20,340.69
  4. Step 4: Simplify right side
    31,683.93x = 889,016,173.68
  5. Step 5: Solve for x
    x = 889,016,173.68/31,683.93
  6. Step 6: Final answer
    x = 28,058.89

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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.