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Finding the Fourth Proportional to 97,592.80, 146,388.48 and 27,470.56

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Solution

The fourth proportional to 97,592.80, 146,388.48 and 27,470.56 is: 41,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,592.80 : 146,388.48 = 27,470.56 : x
  2. Step 2: Convert to fraction form
    97,592.80/146,388.48 = 27,470.56/x
  3. Step 3: Cross multiply
    97,592.80x = 146,388.48 × 27,470.56
  4. Step 4: Simplify right side
    97,592.80x = 4,021,373,523.15
  5. Step 5: Solve for x
    x = 4,021,373,523.15/97,592.80
  6. Step 6: Final answer
    x = 41,205.64

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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.