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Finding the Fourth Proportional to 29,765.68, 41,078.75 and 19,676.59

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Solution

The fourth proportional to 29,765.68, 41,078.75 and 19,676.59 is: 27,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.68 : 41,078.75 = 19,676.59 : x
  2. Step 2: Convert to fraction form
    29,765.68/41,078.75 = 19,676.59/x
  3. Step 3: Cross multiply
    29,765.68x = 41,078.75 × 19,676.59
  4. Step 4: Simplify right side
    29,765.68x = 808,289,520.38
  5. Step 5: Solve for x
    x = 808,289,520.38/29,765.68
  6. Step 6: Final answer
    x = 27,155.09

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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.