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Finding the Fourth Proportional to 84,591, 116,739.41 and 46,865.25

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Solution

The fourth proportional to 84,591, 116,739.41 and 46,865.25 is: 64,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,591 : 116,739.41 = 46,865.25 : x
  2. Step 2: Convert to fraction form
    84,591/116,739.41 = 46,865.25/x
  3. Step 3: Cross multiply
    84,591x = 116,739.41 × 46,865.25
  4. Step 4: Simplify right side
    84,591x = 5,471,021,400.18
  5. Step 5: Solve for x
    x = 5,471,021,400.18/84,591
  6. Step 6: Final answer
    x = 64,676.16

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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.