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Finding the Fourth Proportional to 31,012.67, 42,797.75 and 16,865.51

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Solution

The fourth proportional to 31,012.67, 42,797.75 and 16,865.51 is: 23,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.67 : 42,797.75 = 16,865.51 : x
  2. Step 2: Convert to fraction form
    31,012.67/42,797.75 = 16,865.51/x
  3. Step 3: Cross multiply
    31,012.67x = 42,797.75 × 16,865.51
  4. Step 4: Simplify right side
    31,012.67x = 721,805,582.29
  5. Step 5: Solve for x
    x = 721,805,582.29/31,012.67
  6. Step 6: Final answer
    x = 23,274.54

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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.