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Finding the Fourth Proportional to 31,402.92, 46,914.54 and 20,218.44

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Solution

The fourth proportional to 31,402.92, 46,914.54 and 20,218.44 is: 30,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.92 : 46,914.54 = 20,218.44 : x
  2. Step 2: Convert to fraction form
    31,402.92/46,914.54 = 20,218.44/x
  3. Step 3: Cross multiply
    31,402.92x = 46,914.54 × 20,218.44
  4. Step 4: Simplify right side
    31,402.92x = 948,538,812.12
  5. Step 5: Solve for x
    x = 948,538,812.12/31,402.92
  6. Step 6: Final answer
    x = 30,205.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.