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Finding the Fourth Proportional to 55,203.48, 82,805.31 and 20,134.98

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Solution

The fourth proportional to 55,203.48, 82,805.31 and 20,134.98 is: 30,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.48 : 82,805.31 = 20,134.98 : x
  2. Step 2: Convert to fraction form
    55,203.48/82,805.31 = 20,134.98/x
  3. Step 3: Cross multiply
    55,203.48x = 82,805.31 × 20,134.98
  4. Step 4: Simplify right side
    55,203.48x = 1,667,283,260.74
  5. Step 5: Solve for x
    x = 1,667,283,260.74/55,203.48
  6. Step 6: Final answer
    x = 30,202.50

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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.