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Finding the Fourth Proportional to 102,584.34, 153,874.89 and 52,635.60

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Solution

The fourth proportional to 102,584.34, 153,874.89 and 52,635.60 is: 78,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584.34 : 153,874.89 = 52,635.60 : x
  2. Step 2: Convert to fraction form
    102,584.34/153,874.89 = 52,635.60/x
  3. Step 3: Cross multiply
    102,584.34x = 153,874.89 × 52,635.60
  4. Step 4: Simplify right side
    102,584.34x = 8,099,297,160.08
  5. Step 5: Solve for x
    x = 8,099,297,160.08/102,584.34
  6. Step 6: Final answer
    x = 78,952.57

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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.