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Finding the Fourth Proportional to 71,163.82, 106,598.08 and 41,491.66

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Solution

The fourth proportional to 71,163.82, 106,598.08 and 41,491.66 is: 62,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.82 : 106,598.08 = 41,491.66 : x
  2. Step 2: Convert to fraction form
    71,163.82/106,598.08 = 41,491.66/x
  3. Step 3: Cross multiply
    71,163.82x = 106,598.08 × 41,491.66
  4. Step 4: Simplify right side
    71,163.82x = 4,422,931,292.01
  5. Step 5: Solve for x
    x = 4,422,931,292.01/71,163.82
  6. Step 6: Final answer
    x = 62,151.40

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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.