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Finding the Fourth Proportional to 73,273.25, 109,914.53 and 20,686.84

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Solution

The fourth proportional to 73,273.25, 109,914.53 and 20,686.84 is: 31,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,273.25 : 109,914.53 = 20,686.84 : x
  2. Step 2: Convert to fraction form
    73,273.25/109,914.53 = 20,686.84/x
  3. Step 3: Cross multiply
    73,273.25x = 109,914.53 × 20,686.84
  4. Step 4: Simplify right side
    73,273.25x = 2,273,784,295.79
  5. Step 5: Solve for x
    x = 2,273,784,295.79/73,273.25
  6. Step 6: Final answer
    x = 31,031.57

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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.