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Finding the Fourth Proportional to 38,686.41, 53,383.46 and 22,768.70

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Solution

The fourth proportional to 38,686.41, 53,383.46 and 22,768.70 is: 31,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.41 : 53,383.46 = 22,768.70 : x
  2. Step 2: Convert to fraction form
    38,686.41/53,383.46 = 22,768.70/x
  3. Step 3: Cross multiply
    38,686.41x = 53,383.46 × 22,768.70
  4. Step 4: Simplify right side
    38,686.41x = 1,215,471,604.94
  5. Step 5: Solve for x
    x = 1,215,471,604.94/38,686.41
  6. Step 6: Final answer
    x = 31,418.57

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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.