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Finding the Fourth Proportional to 31,994.36, 47,893.14 and 20,877.12

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Solution

The fourth proportional to 31,994.36, 47,893.14 and 20,877.12 is: 31,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.36 : 47,893.14 = 20,877.12 : x
  2. Step 2: Convert to fraction form
    31,994.36/47,893.14 = 20,877.12/x
  3. Step 3: Cross multiply
    31,994.36x = 47,893.14 × 20,877.12
  4. Step 4: Simplify right side
    31,994.36x = 999,870,830.96
  5. Step 5: Solve for x
    x = 999,870,830.96/31,994.36
  6. Step 6: Final answer
    x = 31,251.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.