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Finding the Fourth Proportional to 71,735.88, 107,557.67 and 34,295.12

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Solution

The fourth proportional to 71,735.88, 107,557.67 and 34,295.12 is: 51,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,735.88 : 107,557.67 = 34,295.12 : x
  2. Step 2: Convert to fraction form
    71,735.88/107,557.67 = 34,295.12/x
  3. Step 3: Cross multiply
    71,735.88x = 107,557.67 × 34,295.12
  4. Step 4: Simplify right side
    71,735.88x = 3,688,702,490.31
  5. Step 5: Solve for x
    x = 3,688,702,490.31/71,735.88
  6. Step 6: Final answer
    x = 51,420.61

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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.