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Finding the Fourth Proportional to 47,286.84, 65,259.18 and 27,147

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Solution

The fourth proportional to 47,286.84, 65,259.18 and 27,147 is: 37,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286.84 : 65,259.18 = 27,147 : x
  2. Step 2: Convert to fraction form
    47,286.84/65,259.18 = 27,147/x
  3. Step 3: Cross multiply
    47,286.84x = 65,259.18 × 27,147
  4. Step 4: Simplify right side
    47,286.84x = 1,771,590,959.46
  5. Step 5: Solve for x
    x = 1,771,590,959.46/47,286.84
  6. Step 6: Final answer
    x = 37,464.78

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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.