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Finding the Fourth Proportional to 74,387.72, 111,571.86 and 32,825

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Solution

The fourth proportional to 74,387.72, 111,571.86 and 32,825 is: 49,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,387.72 : 111,571.86 = 32,825 : x
  2. Step 2: Convert to fraction form
    74,387.72/111,571.86 = 32,825/x
  3. Step 3: Cross multiply
    74,387.72x = 111,571.86 × 32,825
  4. Step 4: Simplify right side
    74,387.72x = 3,662,346,304.50
  5. Step 5: Solve for x
    x = 3,662,346,304.50/74,387.72
  6. Step 6: Final answer
    x = 49,233.21

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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.