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Finding the Fourth Proportional to 41,537, 62,305.50 and 12,353

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Solution

The fourth proportional to 41,537, 62,305.50 and 12,353 is: 18,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,537 : 62,305.50 = 12,353 : x
  2. Step 2: Convert to fraction form
    41,537/62,305.50 = 12,353/x
  3. Step 3: Cross multiply
    41,537x = 62,305.50 × 12,353
  4. Step 4: Simplify right side
    41,537x = 769,659,841.50
  5. Step 5: Solve for x
    x = 769,659,841.50/41,537
  6. Step 6: Final answer
    x = 18,529.50

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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.