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Finding the Fourth Proportional to 73,147.88, 109,721.82 and 25,751.81

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Solution

The fourth proportional to 73,147.88, 109,721.82 and 25,751.81 is: 38,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.88 : 109,721.82 = 25,751.81 : x
  2. Step 2: Convert to fraction form
    73,147.88/109,721.82 = 25,751.81/x
  3. Step 3: Cross multiply
    73,147.88x = 109,721.82 × 25,751.81
  4. Step 4: Simplify right side
    73,147.88x = 2,825,535,461.49
  5. Step 5: Solve for x
    x = 2,825,535,461.49/73,147.88
  6. Step 6: Final answer
    x = 38,627.72

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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.