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Finding the Fourth Proportional to 71,999.16, 108,014.52 and 22,083

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Solution

The fourth proportional to 71,999.16, 108,014.52 and 22,083 is: 33,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,999.16 : 108,014.52 = 22,083 : x
  2. Step 2: Convert to fraction form
    71,999.16/108,014.52 = 22,083/x
  3. Step 3: Cross multiply
    71,999.16x = 108,014.52 × 22,083
  4. Step 4: Simplify right side
    71,999.16x = 2,385,284,645.16
  5. Step 5: Solve for x
    x = 2,385,284,645.16/71,999.16
  6. Step 6: Final answer
    x = 33,129.34

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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.