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Finding the Fourth Proportional to 50,890, 70,228.23 and 31,018

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Solution

The fourth proportional to 50,890, 70,228.23 and 31,018 is: 42,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,890 : 70,228.23 = 31,018 : x
  2. Step 2: Convert to fraction form
    50,890/70,228.23 = 31,018/x
  3. Step 3: Cross multiply
    50,890x = 70,228.23 × 31,018
  4. Step 4: Simplify right side
    50,890x = 2,178,339,238.14
  5. Step 5: Solve for x
    x = 2,178,339,238.14/50,890
  6. Step 6: Final answer
    x = 42,804.86

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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.