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Finding the Fourth Proportional to 66,926.94, 100,369.46 and 24,226.98

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Solution

The fourth proportional to 66,926.94, 100,369.46 and 24,226.98 is: 36,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,926.94 : 100,369.46 = 24,226.98 : x
  2. Step 2: Convert to fraction form
    66,926.94/100,369.46 = 24,226.98/x
  3. Step 3: Cross multiply
    66,926.94x = 100,369.46 × 24,226.98
  4. Step 4: Simplify right side
    66,926.94x = 2,431,648,900.03
  5. Step 5: Solve for x
    x = 2,431,648,900.03/66,926.94
  6. Step 6: Final answer
    x = 36,332.89

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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.