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Finding the Fourth Proportional to 29,765.36, 41,078.02 and 19,676.30

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Solution

The fourth proportional to 29,765.36, 41,078.02 and 19,676.30 is: 27,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.36 : 41,078.02 = 19,676.30 : x
  2. Step 2: Convert to fraction form
    29,765.36/41,078.02 = 19,676.30/x
  3. Step 3: Cross multiply
    29,765.36x = 41,078.02 × 19,676.30
  4. Step 4: Simplify right side
    29,765.36x = 808,263,444.93
  5. Step 5: Solve for x
    x = 808,263,444.93/29,765.36
  6. Step 6: Final answer
    x = 27,154.50

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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.