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Finding the Fourth Proportional to 42,857.64, 59,140.14 and 23,992.20

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Solution

The fourth proportional to 42,857.64, 59,140.14 and 23,992.20 is: 33,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.64 : 59,140.14 = 23,992.20 : x
  2. Step 2: Convert to fraction form
    42,857.64/59,140.14 = 23,992.20/x
  3. Step 3: Cross multiply
    42,857.64x = 59,140.14 × 23,992.20
  4. Step 4: Simplify right side
    42,857.64x = 1,418,902,066.91
  5. Step 5: Solve for x
    x = 1,418,902,066.91/42,857.64
  6. Step 6: Final answer
    x = 33,107.33

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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.