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Finding the Fourth Proportional to 116,309.79, 174,464.64 and 33,203.79

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Solution

The fourth proportional to 116,309.79, 174,464.64 and 33,203.79 is: 49,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,309.79 : 174,464.64 = 33,203.79 : x
  2. Step 2: Convert to fraction form
    116,309.79/174,464.64 = 33,203.79/x
  3. Step 3: Cross multiply
    116,309.79x = 174,464.64 × 33,203.79
  4. Step 4: Simplify right side
    116,309.79x = 5,792,887,268.99
  5. Step 5: Solve for x
    x = 5,792,887,268.99/116,309.79
  6. Step 6: Final answer
    x = 49,805.67

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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.