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Finding the Fourth Proportional to 49,737, 68,637.06 and 27,381

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Solution

The fourth proportional to 49,737, 68,637.06 and 27,381 is: 37,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,737 : 68,637.06 = 27,381 : x
  2. Step 2: Convert to fraction form
    49,737/68,637.06 = 27,381/x
  3. Step 3: Cross multiply
    49,737x = 68,637.06 × 27,381
  4. Step 4: Simplify right side
    49,737x = 1,879,351,339.86
  5. Step 5: Solve for x
    x = 1,879,351,339.86/49,737
  6. Step 6: Final answer
    x = 37,785.78

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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.