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Finding the Fourth Proportional to 49,532, 68,354.16 and 27,176.48

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Solution

The fourth proportional to 49,532, 68,354.16 and 27,176.48 is: 37,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,532 : 68,354.16 = 27,176.48 : x
  2. Step 2: Convert to fraction form
    49,532/68,354.16 = 27,176.48/x
  3. Step 3: Cross multiply
    49,532x = 68,354.16 × 27,176.48
  4. Step 4: Simplify right side
    49,532x = 1,857,625,462.16
  5. Step 5: Solve for x
    x = 1,857,625,462.16/49,532
  6. Step 6: Final answer
    x = 37,503.54

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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.