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Finding the Fourth Proportional to 49,954.60, 68,934.02 and 27,598.12

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Solution

The fourth proportional to 49,954.60, 68,934.02 and 27,598.12 is: 38,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,954.60 : 68,934.02 = 27,598.12 : x
  2. Step 2: Convert to fraction form
    49,954.60/68,934.02 = 27,598.12/x
  3. Step 3: Cross multiply
    49,954.60x = 68,934.02 × 27,598.12
  4. Step 4: Simplify right side
    49,954.60x = 1,902,449,356.04
  5. Step 5: Solve for x
    x = 1,902,449,356.04/49,954.60
  6. Step 6: Final answer
    x = 38,083.57

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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.