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Finding the Fourth Proportional to 49,241, 67,953.12 and 26,885

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Solution

The fourth proportional to 49,241, 67,953.12 and 26,885 is: 37,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241 : 67,953.12 = 26,885 : x
  2. Step 2: Convert to fraction form
    49,241/67,953.12 = 26,885/x
  3. Step 3: Cross multiply
    49,241x = 67,953.12 × 26,885
  4. Step 4: Simplify right side
    49,241x = 1,826,919,631.20
  5. Step 5: Solve for x
    x = 1,826,919,631.20/49,241
  6. Step 6: Final answer
    x = 37,101.59

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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.