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Finding the Fourth Proportional to 73,015.20, 100,760.76 and 41,184

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Solution

The fourth proportional to 73,015.20, 100,760.76 and 41,184 is: 56,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,015.20 : 100,760.76 = 41,184 : x
  2. Step 2: Convert to fraction form
    73,015.20/100,760.76 = 41,184/x
  3. Step 3: Cross multiply
    73,015.20x = 100,760.76 × 41,184
  4. Step 4: Simplify right side
    73,015.20x = 4,149,731,139.84
  5. Step 5: Solve for x
    x = 4,149,731,139.84/73,015.20
  6. Step 6: Final answer
    x = 56,833.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.