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Finding the Fourth Proportional to 37,306.24, 51,486.24 and 27,858.40

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Solution

The fourth proportional to 37,306.24, 51,486.24 and 27,858.40 is: 38,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306.24 : 51,486.24 = 27,858.40 : x
  2. Step 2: Convert to fraction form
    37,306.24/51,486.24 = 27,858.40/x
  3. Step 3: Cross multiply
    37,306.24x = 51,486.24 × 27,858.40
  4. Step 4: Simplify right side
    37,306.24x = 1,434,324,268.42
  5. Step 5: Solve for x
    x = 1,434,324,268.42/37,306.24
  6. Step 6: Final answer
    x = 38,447.30

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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.