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Finding the Fourth Proportional to 49,690, 68,573.64 and 27,334

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Solution

The fourth proportional to 49,690, 68,573.64 and 27,334 is: 37,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,690 : 68,573.64 = 27,334 : x
  2. Step 2: Convert to fraction form
    49,690/68,573.64 = 27,334/x
  3. Step 3: Cross multiply
    49,690x = 68,573.64 × 27,334
  4. Step 4: Simplify right side
    49,690x = 1,874,391,875.76
  5. Step 5: Solve for x
    x = 1,874,391,875.76/49,690
  6. Step 6: Final answer
    x = 37,721.71

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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.