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Finding the Fourth Proportional to 84,225.91, 116,189.81 and 50,210.43

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Solution

The fourth proportional to 84,225.91, 116,189.81 and 50,210.43 is: 69,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,225.91 : 116,189.81 = 50,210.43 : x
  2. Step 2: Convert to fraction form
    84,225.91/116,189.81 = 50,210.43/x
  3. Step 3: Cross multiply
    84,225.91x = 116,189.81 × 50,210.43
  4. Step 4: Simplify right side
    84,225.91x = 5,833,940,006.33
  5. Step 5: Solve for x
    x = 5,833,940,006.33/84,225.91
  6. Step 6: Final answer
    x = 69,265.39

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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.