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Finding the Fourth Proportional to 57,880.31, 79,829.75 and 38,754

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Solution

The fourth proportional to 57,880.31, 79,829.75 and 38,754 is: 53,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,880.31 : 79,829.75 = 38,754 : x
  2. Step 2: Convert to fraction form
    57,880.31/79,829.75 = 38,754/x
  3. Step 3: Cross multiply
    57,880.31x = 79,829.75 × 38,754
  4. Step 4: Simplify right side
    57,880.31x = 3,093,722,228.39
  5. Step 5: Solve for x
    x = 3,093,722,228.39/57,880.31
  6. Step 6: Final answer
    x = 53,450.34

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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.