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Finding the Fourth Proportional to 71,167.67, 106,753.38 and 31,166.07

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Solution

The fourth proportional to 71,167.67, 106,753.38 and 31,166.07 is: 46,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,167.67 : 106,753.38 = 31,166.07 : x
  2. Step 2: Convert to fraction form
    71,167.67/106,753.38 = 31,166.07/x
  3. Step 3: Cross multiply
    71,167.67x = 106,753.38 × 31,166.07
  4. Step 4: Simplify right side
    71,167.67x = 3,327,083,313.82
  5. Step 5: Solve for x
    x = 3,327,083,313.82/71,167.67
  6. Step 6: Final answer
    x = 46,749.93

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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.