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Finding the Fourth Proportional to 31,010.52, 42,814.29 and 20,418.42

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Solution

The fourth proportional to 31,010.52, 42,814.29 and 20,418.42 is: 28,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.52 : 42,814.29 = 20,418.42 : x
  2. Step 2: Convert to fraction form
    31,010.52/42,814.29 = 20,418.42/x
  3. Step 3: Cross multiply
    31,010.52x = 42,814.29 × 20,418.42
  4. Step 4: Simplify right side
    31,010.52x = 874,200,155.22
  5. Step 5: Solve for x
    x = 874,200,155.22/31,010.52
  6. Step 6: Final answer
    x = 28,190.44

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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.