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Finding the Fourth Proportional to 49,593, 68,438.34 and 27,237

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Solution

The fourth proportional to 49,593, 68,438.34 and 27,237 is: 37,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,593 : 68,438.34 = 27,237 : x
  2. Step 2: Convert to fraction form
    49,593/68,438.34 = 27,237/x
  3. Step 3: Cross multiply
    49,593x = 68,438.34 × 27,237
  4. Step 4: Simplify right side
    49,593x = 1,864,055,066.58
  5. Step 5: Solve for x
    x = 1,864,055,066.58/49,593
  6. Step 6: Final answer
    x = 37,587.06

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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.