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Finding the Fourth Proportional to 116,083.80, 174,126 and 49,481.46

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Solution

The fourth proportional to 116,083.80, 174,126 and 49,481.46 is: 74,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,083.80 : 174,126 = 49,481.46 : x
  2. Step 2: Convert to fraction form
    116,083.80/174,126 = 49,481.46/x
  3. Step 3: Cross multiply
    116,083.80x = 174,126 × 49,481.46
  4. Step 4: Simplify right side
    116,083.80x = 8,616,008,703.96
  5. Step 5: Solve for x
    x = 8,616,008,703.96/116,083.80
  6. Step 6: Final answer
    x = 74,222.32

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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.