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Finding the Fourth Proportional to 83,546.46, 115,283.44 and 47,738.78

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Solution

The fourth proportional to 83,546.46, 115,283.44 and 47,738.78 is: 65,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546.46 : 115,283.44 = 47,738.78 : x
  2. Step 2: Convert to fraction form
    83,546.46/115,283.44 = 47,738.78/x
  3. Step 3: Cross multiply
    83,546.46x = 115,283.44 × 47,738.78
  4. Step 4: Simplify right side
    83,546.46x = 5,503,490,779.80
  5. Step 5: Solve for x
    x = 5,503,490,779.80/83,546.46
  6. Step 6: Final answer
    x = 65,873.42

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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.