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Finding the Fourth Proportional to 84,645.58, 116,804.46 and 46,399

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Solution

The fourth proportional to 84,645.58, 116,804.46 and 46,399 is: 64,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645.58 : 116,804.46 = 46,399 : x
  2. Step 2: Convert to fraction form
    84,645.58/116,804.46 = 46,399/x
  3. Step 3: Cross multiply
    84,645.58x = 116,804.46 × 46,399
  4. Step 4: Simplify right side
    84,645.58x = 5,419,610,139.54
  5. Step 5: Solve for x
    x = 5,419,610,139.54/84,645.58
  6. Step 6: Final answer
    x = 64,027.09

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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.