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Finding the Fourth Proportional to 84,081.48, 116,033.31 and 46,357.08

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Solution

The fourth proportional to 84,081.48, 116,033.31 and 46,357.08 is: 63,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,081.48 : 116,033.31 = 46,357.08 : x
  2. Step 2: Convert to fraction form
    84,081.48/116,033.31 = 46,357.08/x
  3. Step 3: Cross multiply
    84,081.48x = 116,033.31 × 46,357.08
  4. Step 4: Simplify right side
    84,081.48x = 5,378,965,434.33
  5. Step 5: Solve for x
    x = 5,378,965,434.33/84,081.48
  6. Step 6: Final answer
    x = 63,973.25

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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.