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Finding the Fourth Proportional to 77,905.71, 116,749.22 and 33,499.08

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Solution

The fourth proportional to 77,905.71, 116,749.22 and 33,499.08 is: 50,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,905.71 : 116,749.22 = 33,499.08 : x
  2. Step 2: Convert to fraction form
    77,905.71/116,749.22 = 33,499.08/x
  3. Step 3: Cross multiply
    77,905.71x = 116,749.22 × 33,499.08
  4. Step 4: Simplify right side
    77,905.71x = 3,910,991,293.22
  5. Step 5: Solve for x
    x = 3,910,991,293.22/77,905.71
  6. Step 6: Final answer
    x = 50,201.60

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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.