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Finding the Fourth Proportional to 30,683.80, 42,344.16 and 20,073.44

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Solution

The fourth proportional to 30,683.80, 42,344.16 and 20,073.44 is: 27,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.80 : 42,344.16 = 20,073.44 : x
  2. Step 2: Convert to fraction form
    30,683.80/42,344.16 = 20,073.44/x
  3. Step 3: Cross multiply
    30,683.80x = 42,344.16 × 20,073.44
  4. Step 4: Simplify right side
    30,683.80x = 849,992,743.39
  5. Step 5: Solve for x
    x = 849,992,743.39/30,683.80
  6. Step 6: Final answer
    x = 27,701.68

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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.