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Finding the Fourth Proportional to 85,460.67, 117,912.92 and 47,734.11

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Solution

The fourth proportional to 85,460.67, 117,912.92 and 47,734.11 is: 65,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,460.67 : 117,912.92 = 47,734.11 : x
  2. Step 2: Convert to fraction form
    85,460.67/117,912.92 = 47,734.11/x
  3. Step 3: Cross multiply
    85,460.67x = 117,912.92 × 47,734.11
  4. Step 4: Simplify right side
    85,460.67x = 5,628,468,055.03
  5. Step 5: Solve for x
    x = 5,628,468,055.03/85,460.67
  6. Step 6: Final answer
    x = 65,860.33

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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.