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Finding the Fourth Proportional to 84,268, 116,289.84 and 46,544.68

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Solution

The fourth proportional to 84,268, 116,289.84 and 46,544.68 is: 64,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,268 : 116,289.84 = 46,544.68 : x
  2. Step 2: Convert to fraction form
    84,268/116,289.84 = 46,544.68/x
  3. Step 3: Cross multiply
    84,268x = 116,289.84 × 46,544.68
  4. Step 4: Simplify right side
    84,268x = 5,412,673,390.05
  5. Step 5: Solve for x
    x = 5,412,673,390.05/84,268
  6. Step 6: Final answer
    x = 64,231.66

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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.