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Finding the Fourth Proportional to 31,660.10, 43,671.89 and 20,905.07

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Solution

The fourth proportional to 31,660.10, 43,671.89 and 20,905.07 is: 28,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.10 : 43,671.89 = 20,905.07 : x
  2. Step 2: Convert to fraction form
    31,660.10/43,671.89 = 20,905.07/x
  3. Step 3: Cross multiply
    31,660.10x = 43,671.89 × 20,905.07
  4. Step 4: Simplify right side
    31,660.10x = 912,963,751.39
  5. Step 5: Solve for x
    x = 912,963,751.39/31,660.10
  6. Step 6: Final answer
    x = 28,836.42

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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.