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Finding the Fourth Proportional to 83,868.50, 115,738.54 and 46,141.94

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Solution

The fourth proportional to 83,868.50, 115,738.54 and 46,141.94 is: 63,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,868.50 : 115,738.54 = 46,141.94 : x
  2. Step 2: Convert to fraction form
    83,868.50/115,738.54 = 46,141.94/x
  3. Step 3: Cross multiply
    83,868.50x = 115,738.54 × 46,141.94
  4. Step 4: Simplify right side
    83,868.50x = 5,340,400,768.37
  5. Step 5: Solve for x
    x = 5,340,400,768.37/83,868.50
  6. Step 6: Final answer
    x = 63,675.88

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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.