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Finding the Fourth Proportional to 116,110.13, 174,194.45 and 33,004.13

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Solution

The fourth proportional to 116,110.13, 174,194.45 and 33,004.13 is: 49,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,110.13 : 174,194.45 = 33,004.13 : x
  2. Step 2: Convert to fraction form
    116,110.13/174,194.45 = 33,004.13/x
  3. Step 3: Cross multiply
    116,110.13x = 174,194.45 × 33,004.13
  4. Step 4: Simplify right side
    116,110.13x = 5,749,135,360.85
  5. Step 5: Solve for x
    x = 5,749,135,360.85/116,110.13
  6. Step 6: Final answer
    x = 49,514.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.