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Finding the Fourth Proportional to 71,129.50, 106,699.68 and 21,205.78

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Solution

The fourth proportional to 71,129.50, 106,699.68 and 21,205.78 is: 31,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,129.50 : 106,699.68 = 21,205.78 : x
  2. Step 2: Convert to fraction form
    71,129.50/106,699.68 = 21,205.78/x
  3. Step 3: Cross multiply
    71,129.50x = 106,699.68 × 21,205.78
  4. Step 4: Simplify right side
    71,129.50x = 2,262,649,940.15
  5. Step 5: Solve for x
    x = 2,262,649,940.15/71,129.50
  6. Step 6: Final answer
    x = 31,810.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.