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Finding the Fourth Proportional to 85,238.31, 117,629.68 and 46,999.23

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Solution

The fourth proportional to 85,238.31, 117,629.68 and 46,999.23 is: 64,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,238.31 : 117,629.68 = 46,999.23 : x
  2. Step 2: Convert to fraction form
    85,238.31/117,629.68 = 46,999.23/x
  3. Step 3: Cross multiply
    85,238.31x = 117,629.68 × 46,999.23
  4. Step 4: Simplify right side
    85,238.31x = 5,528,504,385.15
  5. Step 5: Solve for x
    x = 5,528,504,385.15/85,238.31
  6. Step 6: Final answer
    x = 64,859.39

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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.