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Finding the Fourth Proportional to 31,010.14, 42,793.68 and 16,862.68

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Solution

The fourth proportional to 31,010.14, 42,793.68 and 16,862.68 is: 23,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.14 : 42,793.68 = 16,862.68 : x
  2. Step 2: Convert to fraction form
    31,010.14/42,793.68 = 16,862.68/x
  3. Step 3: Cross multiply
    31,010.14x = 42,793.68 × 16,862.68
  4. Step 4: Simplify right side
    31,010.14x = 721,616,131.86
  5. Step 5: Solve for x
    x = 721,616,131.86/31,010.14
  6. Step 6: Final answer
    x = 23,270.33

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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.