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Finding the Fourth Proportional to 50,175.60, 75,262.56 and 12,225

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Solution

The fourth proportional to 50,175.60, 75,262.56 and 12,225 is: 18,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,175.60 : 75,262.56 = 12,225 : x
  2. Step 2: Convert to fraction form
    50,175.60/75,262.56 = 12,225/x
  3. Step 3: Cross multiply
    50,175.60x = 75,262.56 × 12,225
  4. Step 4: Simplify right side
    50,175.60x = 920,084,796
  5. Step 5: Solve for x
    x = 920,084,796/50,175.60
  6. Step 6: Final answer
    x = 18,337.30

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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.