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Finding the Fourth Proportional to 74,474.75, 111,676.93 and 27,056.78

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Solution

The fourth proportional to 74,474.75, 111,676.93 and 27,056.78 is: 40,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,474.75 : 111,676.93 = 27,056.78 : x
  2. Step 2: Convert to fraction form
    74,474.75/111,676.93 = 27,056.78/x
  3. Step 3: Cross multiply
    74,474.75x = 111,676.93 × 27,056.78
  4. Step 4: Simplify right side
    74,474.75x = 3,021,617,500.06
  5. Step 5: Solve for x
    x = 3,021,617,500.06/74,474.75
  6. Step 6: Final answer
    x = 40,572.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.