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Finding the Fourth Proportional to 49,090.92, 73,662.77 and 19,509

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Solution

The fourth proportional to 49,090.92, 73,662.77 and 19,509 is: 29,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,090.92 : 73,662.77 = 19,509 : x
  2. Step 2: Convert to fraction form
    49,090.92/73,662.77 = 19,509/x
  3. Step 3: Cross multiply
    49,090.92x = 73,662.77 × 19,509
  4. Step 4: Simplify right side
    49,090.92x = 1,437,087,028.70
  5. Step 5: Solve for x
    x = 1,437,087,028.70/49,090.92
  6. Step 6: Final answer
    x = 29,273.99

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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.