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Finding the Fourth Proportional to 49,958, 68,942.08 and 27,602

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Solution

The fourth proportional to 49,958, 68,942.08 and 27,602 is: 38,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,958 : 68,942.08 = 27,602 : x
  2. Step 2: Convert to fraction form
    49,958/68,942.08 = 27,602/x
  3. Step 3: Cross multiply
    49,958x = 68,942.08 × 27,602
  4. Step 4: Simplify right side
    49,958x = 1,902,939,292.16
  5. Step 5: Solve for x
    x = 1,902,939,292.16/49,958
  6. Step 6: Final answer
    x = 38,090.78

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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.