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Finding the Fourth Proportional to 84,375.84, 116,405.16 and 48,546.56

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Solution

The fourth proportional to 84,375.84, 116,405.16 and 48,546.56 is: 66,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,375.84 : 116,405.16 = 48,546.56 : x
  2. Step 2: Convert to fraction form
    84,375.84/116,405.16 = 48,546.56/x
  3. Step 3: Cross multiply
    84,375.84x = 116,405.16 × 48,546.56
  4. Step 4: Simplify right side
    84,375.84x = 5,651,070,084.25
  5. Step 5: Solve for x
    x = 5,651,070,084.25/84,375.84
  6. Step 6: Final answer
    x = 66,974.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.