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Finding the Fourth Proportional to 71,090.96, 106,600.78 and 23,689.40

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Solution

The fourth proportional to 71,090.96, 106,600.78 and 23,689.40 is: 35,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,090.96 : 106,600.78 = 23,689.40 : x
  2. Step 2: Convert to fraction form
    71,090.96/106,600.78 = 23,689.40/x
  3. Step 3: Cross multiply
    71,090.96x = 106,600.78 × 23,689.40
  4. Step 4: Simplify right side
    71,090.96x = 2,525,308,517.73
  5. Step 5: Solve for x
    x = 2,525,308,517.73/71,090.96
  6. Step 6: Final answer
    x = 35,522.22

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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.