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Finding the Fourth Proportional to 71,162.83, 106,709.42 and 41,588.11

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Solution

The fourth proportional to 71,162.83, 106,709.42 and 41,588.11 is: 62,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162.83 : 106,709.42 = 41,588.11 : x
  2. Step 2: Convert to fraction form
    71,162.83/106,709.42 = 41,588.11/x
  3. Step 3: Cross multiply
    71,162.83x = 106,709.42 × 41,588.11
  4. Step 4: Simplify right side
    71,162.83x = 4,437,842,889.06
  5. Step 5: Solve for x
    x = 4,437,842,889.06/71,162.83
  6. Step 6: Final answer
    x = 62,361.81

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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.