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Finding the Fourth Proportional to 37,104, 51,203.64 and 20,108.52

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Solution

The fourth proportional to 37,104, 51,203.64 and 20,108.52 is: 27,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,104 : 51,203.64 = 20,108.52 : x
  2. Step 2: Convert to fraction form
    37,104/51,203.64 = 20,108.52/x
  3. Step 3: Cross multiply
    37,104x = 51,203.64 × 20,108.52
  4. Step 4: Simplify right side
    37,104x = 1,029,629,419.01
  5. Step 5: Solve for x
    x = 1,029,629,419.01/37,104
  6. Step 6: Final answer
    x = 27,749.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.