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Finding the Fourth Proportional to 66,974.58, 100,461.89 and 52,194.57

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Solution

The fourth proportional to 66,974.58, 100,461.89 and 52,194.57 is: 78,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,974.58 : 100,461.89 = 52,194.57 : x
  2. Step 2: Convert to fraction form
    66,974.58/100,461.89 = 52,194.57/x
  3. Step 3: Cross multiply
    66,974.58x = 100,461.89 × 52,194.57
  4. Step 4: Simplify right side
    66,974.58x = 5,243,564,888.96
  5. Step 5: Solve for x
    x = 5,243,564,888.96/66,974.58
  6. Step 6: Final answer
    x = 78,291.87

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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.