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Finding the Fourth Proportional to 31,004.78, 42,786.54 and 16,857.59

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Solution

The fourth proportional to 31,004.78, 42,786.54 and 16,857.59 is: 23,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.78 : 42,786.54 = 16,857.59 : x
  2. Step 2: Convert to fraction form
    31,004.78/42,786.54 = 16,857.59/x
  3. Step 3: Cross multiply
    31,004.78x = 42,786.54 × 16,857.59
  4. Step 4: Simplify right side
    31,004.78x = 721,277,948.84
  5. Step 5: Solve for x
    x = 721,277,948.84/31,004.78
  6. Step 6: Final answer
    x = 23,263.44

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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.