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Finding the Fourth Proportional to 31,004.84, 42,785.52 and 16,857.20

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Solution

The fourth proportional to 31,004.84, 42,785.52 and 16,857.20 is: 23,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.84 : 42,785.52 = 16,857.20 : x
  2. Step 2: Convert to fraction form
    31,004.84/42,785.52 = 16,857.20/x
  3. Step 3: Cross multiply
    31,004.84x = 42,785.52 × 16,857.20
  4. Step 4: Simplify right side
    31,004.84x = 721,244,067.74
  5. Step 5: Solve for x
    x = 721,244,067.74/31,004.84
  6. Step 6: Final answer
    x = 23,262.31

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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.