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Finding the Fourth Proportional to 49,209, 67,908.66 and 26,853

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Solution

The fourth proportional to 49,209, 67,908.66 and 26,853 is: 37,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209 : 67,908.66 = 26,853 : x
  2. Step 2: Convert to fraction form
    49,209/67,908.66 = 26,853/x
  3. Step 3: Cross multiply
    49,209x = 67,908.66 × 26,853
  4. Step 4: Simplify right side
    49,209x = 1,823,551,246.98
  5. Step 5: Solve for x
    x = 1,823,551,246.98/49,209
  6. Step 6: Final answer
    x = 37,057.27

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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.