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Finding the Fourth Proportional to 49,158, 67,838.40 and 26,802

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Solution

The fourth proportional to 49,158, 67,838.40 and 26,802 is: 36,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,158 : 67,838.40 = 26,802 : x
  2. Step 2: Convert to fraction form
    49,158/67,838.40 = 26,802/x
  3. Step 3: Cross multiply
    49,158x = 67,838.40 × 26,802
  4. Step 4: Simplify right side
    49,158x = 1,818,204,796.80
  5. Step 5: Solve for x
    x = 1,818,204,796.80/49,158
  6. Step 6: Final answer
    x = 36,986.96

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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.