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Finding the Fourth Proportional to 71,406.90, 98,553.72 and 41,186.82

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Solution

The fourth proportional to 71,406.90, 98,553.72 and 41,186.82 is: 56,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.90 : 98,553.72 = 41,186.82 : x
  2. Step 2: Convert to fraction form
    71,406.90/98,553.72 = 41,186.82/x
  3. Step 3: Cross multiply
    71,406.90x = 98,553.72 × 41,186.82
  4. Step 4: Simplify right side
    71,406.90x = 4,059,114,325.97
  5. Step 5: Solve for x
    x = 4,059,114,325.97/71,406.90
  6. Step 6: Final answer
    x = 56,844.85

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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.