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Finding the Fourth Proportional to 49,797, 68,721.06 and 27,441

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Solution

The fourth proportional to 49,797, 68,721.06 and 27,441 is: 37,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797 : 68,721.06 = 27,441 : x
  2. Step 2: Convert to fraction form
    49,797/68,721.06 = 27,441/x
  3. Step 3: Cross multiply
    49,797x = 68,721.06 × 27,441
  4. Step 4: Simplify right side
    49,797x = 1,885,774,607.46
  5. Step 5: Solve for x
    x = 1,885,774,607.46/49,797
  6. Step 6: Final answer
    x = 37,869.24

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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.