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Finding the Fourth Proportional to 66,898.46, 100,199.64 and 27,335.54

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Solution

The fourth proportional to 66,898.46, 100,199.64 and 27,335.54 is: 40,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,898.46 : 100,199.64 = 27,335.54 : x
  2. Step 2: Convert to fraction form
    66,898.46/100,199.64 = 27,335.54/x
  3. Step 3: Cross multiply
    66,898.46x = 100,199.64 × 27,335.54
  4. Step 4: Simplify right side
    66,898.46x = 2,739,011,267.21
  5. Step 5: Solve for x
    x = 2,739,011,267.21/66,898.46
  6. Step 6: Final answer
    x = 40,942.81

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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.