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Finding the Fourth Proportional to 49,705, 68,594.34 and 27,349

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Solution

The fourth proportional to 49,705, 68,594.34 and 27,349 is: 37,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,705 : 68,594.34 = 27,349 : x
  2. Step 2: Convert to fraction form
    49,705/68,594.34 = 27,349/x
  3. Step 3: Cross multiply
    49,705x = 68,594.34 × 27,349
  4. Step 4: Simplify right side
    49,705x = 1,875,986,604.66
  5. Step 5: Solve for x
    x = 1,875,986,604.66/49,705
  6. Step 6: Final answer
    x = 37,742.41

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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.