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Finding the Fourth Proportional to 71,676.95, 98,917.56 and 39,846.38

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Solution

The fourth proportional to 71,676.95, 98,917.56 and 39,846.38 is: 54,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.95 : 98,917.56 = 39,846.38 : x
  2. Step 2: Convert to fraction form
    71,676.95/98,917.56 = 39,846.38/x
  3. Step 3: Cross multiply
    71,676.95x = 98,917.56 × 39,846.38
  4. Step 4: Simplify right side
    71,676.95x = 3,941,506,189.85
  5. Step 5: Solve for x
    x = 3,941,506,189.85/71,676.95
  6. Step 6: Final answer
    x = 54,989.87

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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.