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Finding the Fourth Proportional to 57,930, 79,943.40 and 31,434

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Solution

The fourth proportional to 57,930, 79,943.40 and 31,434 is: 43,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,930 : 79,943.40 = 31,434 : x
  2. Step 2: Convert to fraction form
    57,930/79,943.40 = 31,434/x
  3. Step 3: Cross multiply
    57,930x = 79,943.40 × 31,434
  4. Step 4: Simplify right side
    57,930x = 2,512,940,835.60
  5. Step 5: Solve for x
    x = 2,512,940,835.60/57,930
  6. Step 6: Final answer
    x = 43,378.92

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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.