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Finding the Fourth Proportional to 116,055, 174,092.63 and 32,949

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Solution

The fourth proportional to 116,055, 174,092.63 and 32,949 is: 49,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,055 : 174,092.63 = 32,949 : x
  2. Step 2: Convert to fraction form
    116,055/174,092.63 = 32,949/x
  3. Step 3: Cross multiply
    116,055x = 174,092.63 × 32,949
  4. Step 4: Simplify right side
    116,055x = 5,736,177,901.13
  5. Step 5: Solve for x
    x = 5,736,177,901.13/116,055
  6. Step 6: Final answer
    x = 49,426.37

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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.