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Finding the Fourth Proportional to 116,129.25, 174,223.13 and 33,023.25

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Solution

The fourth proportional to 116,129.25, 174,223.13 and 33,023.25 is: 49,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,129.25 : 174,223.13 = 33,023.25 : x
  2. Step 2: Convert to fraction form
    116,129.25/174,223.13 = 33,023.25/x
  3. Step 3: Cross multiply
    116,129.25x = 174,223.13 × 33,023.25
  4. Step 4: Simplify right side
    116,129.25x = 5,753,413,812.66
  5. Step 5: Solve for x
    x = 5,753,413,812.66/116,129.25
  6. Step 6: Final answer
    x = 49,543.19

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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.