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Finding the Fourth Proportional to 71,366.54, 107,051.54 and 23,982.30

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Solution

The fourth proportional to 71,366.54, 107,051.54 and 23,982.30 is: 35,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366.54 : 107,051.54 = 23,982.30 : x
  2. Step 2: Convert to fraction form
    71,366.54/107,051.54 = 23,982.30/x
  3. Step 3: Cross multiply
    71,366.54x = 107,051.54 × 23,982.30
  4. Step 4: Simplify right side
    71,366.54x = 2,567,342,027.83
  5. Step 5: Solve for x
    x = 2,567,342,027.83/71,366.54
  6. Step 6: Final answer
    x = 35,974.03

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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.