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Finding the Fourth Proportional to 71,156.97, 106,699.19 and 23,755.03

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Solution

The fourth proportional to 71,156.97, 106,699.19 and 23,755.03 is: 35,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156.97 : 106,699.19 = 23,755.03 : x
  2. Step 2: Convert to fraction form
    71,156.97/106,699.19 = 23,755.03/x
  3. Step 3: Cross multiply
    71,156.97x = 106,699.19 × 23,755.03
  4. Step 4: Simplify right side
    71,156.97x = 2,534,643,007.86
  5. Step 5: Solve for x
    x = 2,534,643,007.86/71,156.97
  6. Step 6: Final answer
    x = 35,620.45

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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.