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Finding the Fourth Proportional to 83,107.44, 114,661.28 and 49,116.96

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Solution

The fourth proportional to 83,107.44, 114,661.28 and 49,116.96 is: 67,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,107.44 : 114,661.28 = 49,116.96 : x
  2. Step 2: Convert to fraction form
    83,107.44/114,661.28 = 49,116.96/x
  3. Step 3: Cross multiply
    83,107.44x = 114,661.28 × 49,116.96
  4. Step 4: Simplify right side
    83,107.44x = 5,631,813,503.31
  5. Step 5: Solve for x
    x = 5,631,813,503.31/83,107.44
  6. Step 6: Final answer
    x = 67,765.46

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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.