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Finding the Fourth Proportional to 35,212, 52,781.60 and 11,830.56

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Solution

The fourth proportional to 35,212, 52,781.60 and 11,830.56 is: 17,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,212 : 52,781.60 = 11,830.56 : x
  2. Step 2: Convert to fraction form
    35,212/52,781.60 = 11,830.56/x
  3. Step 3: Cross multiply
    35,212x = 52,781.60 × 11,830.56
  4. Step 4: Simplify right side
    35,212x = 624,435,885.70
  5. Step 5: Solve for x
    x = 624,435,885.70/35,212
  6. Step 6: Final answer
    x = 17,733.61

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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.