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Finding the Fourth Proportional to 49,597.40, 68,471.10 and 38,242

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Solution

The fourth proportional to 49,597.40, 68,471.10 and 38,242 is: 52,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,597.40 : 68,471.10 = 38,242 : x
  2. Step 2: Convert to fraction form
    49,597.40/68,471.10 = 38,242/x
  3. Step 3: Cross multiply
    49,597.40x = 68,471.10 × 38,242
  4. Step 4: Simplify right side
    49,597.40x = 2,618,471,806.20
  5. Step 5: Solve for x
    x = 2,618,471,806.20/49,597.40
  6. Step 6: Final answer
    x = 52,794.54

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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.