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Finding the Fourth Proportional to 71,234.54, 106,852.26 and 21,309.89

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Solution

The fourth proportional to 71,234.54, 106,852.26 and 21,309.89 is: 31,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,234.54 : 106,852.26 = 21,309.89 : x
  2. Step 2: Convert to fraction form
    71,234.54/106,852.26 = 21,309.89/x
  3. Step 3: Cross multiply
    71,234.54x = 106,852.26 × 21,309.89
  4. Step 4: Simplify right side
    71,234.54x = 2,277,009,452.50
  5. Step 5: Solve for x
    x = 2,277,009,452.50/71,234.54
  6. Step 6: Final answer
    x = 31,964.96

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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.