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Finding the Fourth Proportional to 83,868, 115,738.92 and 46,141.44

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Solution

The fourth proportional to 83,868, 115,738.92 and 46,141.44 is: 63,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,868 : 115,738.92 = 46,141.44 : x
  2. Step 2: Convert to fraction form
    83,868/115,738.92 = 46,141.44/x
  3. Step 3: Cross multiply
    83,868x = 115,738.92 × 46,141.44
  4. Step 4: Simplify right side
    83,868x = 5,340,360,432.84
  5. Step 5: Solve for x
    x = 5,340,360,432.84/83,868
  6. Step 6: Final answer
    x = 63,675.78

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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.