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Finding the Fourth Proportional to 42,857.77, 59,142.42 and 23,736.78

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Solution

The fourth proportional to 42,857.77, 59,142.42 and 23,736.78 is: 32,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.77 : 59,142.42 = 23,736.78 : x
  2. Step 2: Convert to fraction form
    42,857.77/59,142.42 = 23,736.78/x
  3. Step 3: Cross multiply
    42,857.77x = 59,142.42 × 23,736.78
  4. Step 4: Simplify right side
    42,857.77x = 1,403,850,612.21
  5. Step 5: Solve for x
    x = 1,403,850,612.21/42,857.77
  6. Step 6: Final answer
    x = 32,756.03

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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.