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Finding the Fourth Proportional to 37,286.48, 51,412.68 and 27,839.12

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Solution

The fourth proportional to 37,286.48, 51,412.68 and 27,839.12 is: 38,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,286.48 : 51,412.68 = 27,839.12 : x
  2. Step 2: Convert to fraction form
    37,286.48/51,412.68 = 27,839.12/x
  3. Step 3: Cross multiply
    37,286.48x = 51,412.68 × 27,839.12
  4. Step 4: Simplify right side
    37,286.48x = 1,431,283,768.04
  5. Step 5: Solve for x
    x = 1,431,283,768.04/37,286.48
  6. Step 6: Final answer
    x = 38,386.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.