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Finding the Fourth Proportional to 49,389, 68,156.82 and 27,033

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Solution

The fourth proportional to 49,389, 68,156.82 and 27,033 is: 37,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,389 : 68,156.82 = 27,033 : x
  2. Step 2: Convert to fraction form
    49,389/68,156.82 = 27,033/x
  3. Step 3: Cross multiply
    49,389x = 68,156.82 × 27,033
  4. Step 4: Simplify right side
    49,389x = 1,842,483,315.06
  5. Step 5: Solve for x
    x = 1,842,483,315.06/49,389
  6. Step 6: Final answer
    x = 37,305.54

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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.