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Finding the Fourth Proportional to 81,917.40, 122,876.10 and 26,513.40

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Solution

The fourth proportional to 81,917.40, 122,876.10 and 26,513.40 is: 39,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,917.40 : 122,876.10 = 26,513.40 : x
  2. Step 2: Convert to fraction form
    81,917.40/122,876.10 = 26,513.40/x
  3. Step 3: Cross multiply
    81,917.40x = 122,876.10 × 26,513.40
  4. Step 4: Simplify right side
    81,917.40x = 3,257,863,189.74
  5. Step 5: Solve for x
    x = 3,257,863,189.74/81,917.40
  6. Step 6: Final answer
    x = 39,770.10

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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.