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Finding the Fourth Proportional to 55,775.49, 76,935.12 and 33,098.42

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Solution

The fourth proportional to 55,775.49, 76,935.12 and 33,098.42 is: 45,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,775.49 : 76,935.12 = 33,098.42 : x
  2. Step 2: Convert to fraction form
    55,775.49/76,935.12 = 33,098.42/x
  3. Step 3: Cross multiply
    55,775.49x = 76,935.12 × 33,098.42
  4. Step 4: Simplify right side
    55,775.49x = 2,546,430,982.73
  5. Step 5: Solve for x
    x = 2,546,430,982.73/55,775.49
  6. Step 6: Final answer
    x = 45,655.02

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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.