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Finding the Fourth Proportional to 66,586.12, 99,793.02 and 27,097

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Solution

The fourth proportional to 66,586.12, 99,793.02 and 27,097 is: 40,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,586.12 : 99,793.02 = 27,097 : x
  2. Step 2: Convert to fraction form
    66,586.12/99,793.02 = 27,097/x
  3. Step 3: Cross multiply
    66,586.12x = 99,793.02 × 27,097
  4. Step 4: Simplify right side
    66,586.12x = 2,704,091,462.94
  5. Step 5: Solve for x
    x = 2,704,091,462.94/66,586.12
  6. Step 6: Final answer
    x = 40,610.44

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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.