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Finding the Fourth Proportional to 71,415.72, 98,552.70 and 41,201.10

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Solution

The fourth proportional to 71,415.72, 98,552.70 and 41,201.10 is: 56,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415.72 : 98,552.70 = 41,201.10 : x
  2. Step 2: Convert to fraction form
    71,415.72/98,552.70 = 41,201.10/x
  3. Step 3: Cross multiply
    71,415.72x = 98,552.70 × 41,201.10
  4. Step 4: Simplify right side
    71,415.72x = 4,060,479,647.97
  5. Step 5: Solve for x
    x = 4,060,479,647.97/71,415.72
  6. Step 6: Final answer
    x = 56,856.94

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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.