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Finding the Fourth Proportional to 84,201.56, 116,197.41 and 46,475

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Solution

The fourth proportional to 84,201.56, 116,197.41 and 46,475 is: 64,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,201.56 : 116,197.41 = 46,475 : x
  2. Step 2: Convert to fraction form
    84,201.56/116,197.41 = 46,475/x
  3. Step 3: Cross multiply
    84,201.56x = 116,197.41 × 46,475
  4. Step 4: Simplify right side
    84,201.56x = 5,400,274,629.75
  5. Step 5: Solve for x
    x = 5,400,274,629.75/84,201.56
  6. Step 6: Final answer
    x = 64,135.09

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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.