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Finding the Fourth Proportional to 71,017.09, 106,542.07 and 21,096.11

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Solution

The fourth proportional to 71,017.09, 106,542.07 and 21,096.11 is: 31,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,017.09 : 106,542.07 = 21,096.11 : x
  2. Step 2: Convert to fraction form
    71,017.09/106,542.07 = 21,096.11/x
  3. Step 3: Cross multiply
    71,017.09x = 106,542.07 × 21,096.11
  4. Step 4: Simplify right side
    71,017.09x = 2,247,623,441.96
  5. Step 5: Solve for x
    x = 2,247,623,441.96/71,017.09
  6. Step 6: Final answer
    x = 31,649.05

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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.