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Finding the Fourth Proportional to 49,702, 68,588.76 and 27,346

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Solution

The fourth proportional to 49,702, 68,588.76 and 27,346 is: 37,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,702 : 68,588.76 = 27,346 : x
  2. Step 2: Convert to fraction form
    49,702/68,588.76 = 27,346/x
  3. Step 3: Cross multiply
    49,702x = 68,588.76 × 27,346
  4. Step 4: Simplify right side
    49,702x = 1,875,628,230.96
  5. Step 5: Solve for x
    x = 1,875,628,230.96/49,702
  6. Step 6: Final answer
    x = 37,737.48

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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.