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Finding the Fourth Proportional to 82,201.11, 123,308.96 and 23,037.50

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Solution

The fourth proportional to 82,201.11, 123,308.96 and 23,037.50 is: 34,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201.11 : 123,308.96 = 23,037.50 : x
  2. Step 2: Convert to fraction form
    82,201.11/123,308.96 = 23,037.50/x
  3. Step 3: Cross multiply
    82,201.11x = 123,308.96 × 23,037.50
  4. Step 4: Simplify right side
    82,201.11x = 2,840,729,434.27
  5. Step 5: Solve for x
    x = 2,840,729,434.27/82,201.11
  6. Step 6: Final answer
    x = 34,558.29

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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.