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Finding the Fourth Proportional to 49,147.12, 67,823 and 27,926.40

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Solution

The fourth proportional to 49,147.12, 67,823 and 27,926.40 is: 38,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,147.12 : 67,823 = 27,926.40 : x
  2. Step 2: Convert to fraction form
    49,147.12/67,823 = 27,926.40/x
  3. Step 3: Cross multiply
    49,147.12x = 67,823 × 27,926.40
  4. Step 4: Simplify right side
    49,147.12x = 1,894,052,227.20
  5. Step 5: Solve for x
    x = 1,894,052,227.20/49,147.12
  6. Step 6: Final answer
    x = 38,538.42

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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.