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Finding the Fourth Proportional to 49,709, 68,598.42 and 27,353

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Solution

The fourth proportional to 49,709, 68,598.42 and 27,353 is: 37,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709 : 68,598.42 = 27,353 : x
  2. Step 2: Convert to fraction form
    49,709/68,598.42 = 27,353/x
  3. Step 3: Cross multiply
    49,709x = 68,598.42 × 27,353
  4. Step 4: Simplify right side
    49,709x = 1,876,372,582.26
  5. Step 5: Solve for x
    x = 1,876,372,582.26/49,709
  6. Step 6: Final answer
    x = 37,747.14

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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.