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Finding the Fourth Proportional to 73,858.64, 110,846.10 and 27,124.88

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Solution

The fourth proportional to 73,858.64, 110,846.10 and 27,124.88 is: 40,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,858.64 : 110,846.10 = 27,124.88 : x
  2. Step 2: Convert to fraction form
    73,858.64/110,846.10 = 27,124.88/x
  3. Step 3: Cross multiply
    73,858.64x = 110,846.10 × 27,124.88
  4. Step 4: Simplify right side
    73,858.64x = 3,006,687,160.97
  5. Step 5: Solve for x
    x = 3,006,687,160.97/73,858.64
  6. Step 6: Final answer
    x = 40,708.67

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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.