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Finding the Fourth Proportional to 29,765.87, 41,078.75 and 19,676.82

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Solution

The fourth proportional to 29,765.87, 41,078.75 and 19,676.82 is: 27,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.87 : 41,078.75 = 19,676.82 : x
  2. Step 2: Convert to fraction form
    29,765.87/41,078.75 = 19,676.82/x
  3. Step 3: Cross multiply
    29,765.87x = 41,078.75 × 19,676.82
  4. Step 4: Simplify right side
    29,765.87x = 808,299,169.58
  5. Step 5: Solve for x
    x = 808,299,169.58/29,765.87
  6. Step 6: Final answer
    x = 27,155.23

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1.5x scale

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.