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Finding the Fourth Proportional to 73,153.96, 109,624.92 and 30,975.82

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Solution

The fourth proportional to 73,153.96, 109,624.92 and 30,975.82 is: 46,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,153.96 : 109,624.92 = 30,975.82 : x
  2. Step 2: Convert to fraction form
    73,153.96/109,624.92 = 30,975.82/x
  3. Step 3: Cross multiply
    73,153.96x = 109,624.92 × 30,975.82
  4. Step 4: Simplify right side
    73,153.96x = 3,395,721,789.43
  5. Step 5: Solve for x
    x = 3,395,721,789.43/73,153.96
  6. Step 6: Final answer
    x = 46,418.84

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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.