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Finding the Fourth Proportional to 84,034.94, 115,968.22 and 46,309.20

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Solution

The fourth proportional to 84,034.94, 115,968.22 and 46,309.20 is: 63,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.94 : 115,968.22 = 46,309.20 : x
  2. Step 2: Convert to fraction form
    84,034.94/115,968.22 = 46,309.20/x
  3. Step 3: Cross multiply
    84,034.94x = 115,968.22 × 46,309.20
  4. Step 4: Simplify right side
    84,034.94x = 5,370,395,493.62
  5. Step 5: Solve for x
    x = 5,370,395,493.62/84,034.94
  6. Step 6: Final answer
    x = 63,906.70

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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.