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Finding the Fourth Proportional to 57,922, 79,932.36 and 31,426

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Solution

The fourth proportional to 57,922, 79,932.36 and 31,426 is: 43,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,922 : 79,932.36 = 31,426 : x
  2. Step 2: Convert to fraction form
    57,922/79,932.36 = 31,426/x
  3. Step 3: Cross multiply
    57,922x = 79,932.36 × 31,426
  4. Step 4: Simplify right side
    57,922x = 2,511,954,345.36
  5. Step 5: Solve for x
    x = 2,511,954,345.36/57,922
  6. Step 6: Final answer
    x = 43,367.88

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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.