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Finding the Fourth Proportional to 71,125.49, 106,693.67 and 21,201.77

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Solution

The fourth proportional to 71,125.49, 106,693.67 and 21,201.77 is: 31,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,125.49 : 106,693.67 = 21,201.77 : x
  2. Step 2: Convert to fraction form
    71,125.49/106,693.67 = 21,201.77/x
  3. Step 3: Cross multiply
    71,125.49x = 106,693.67 × 21,201.77
  4. Step 4: Simplify right side
    71,125.49x = 2,262,094,171.33
  5. Step 5: Solve for x
    x = 2,262,094,171.33/71,125.49
  6. Step 6: Final answer
    x = 31,804.27

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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.