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Finding the Fourth Proportional to 42,857, 59,142.68 and 23,994.52

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Solution

The fourth proportional to 42,857, 59,142.68 and 23,994.52 is: 33,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857 : 59,142.68 = 23,994.52 : x
  2. Step 2: Convert to fraction form
    42,857/59,142.68 = 23,994.52/x
  3. Step 3: Cross multiply
    42,857x = 59,142.68 × 23,994.52
  4. Step 4: Simplify right side
    42,857x = 1,419,100,218.11
  5. Step 5: Solve for x
    x = 1,419,100,218.11/42,857
  6. Step 6: Final answer
    x = 33,112.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.