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Finding the Fourth Proportional to 50,148, 75,226.56 and 13,212

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Solution

The fourth proportional to 50,148, 75,226.56 and 13,212 is: 19,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,148 : 75,226.56 = 13,212 : x
  2. Step 2: Convert to fraction form
    50,148/75,226.56 = 13,212/x
  3. Step 3: Cross multiply
    50,148x = 75,226.56 × 13,212
  4. Step 4: Simplify right side
    50,148x = 993,893,310.72
  5. Step 5: Solve for x
    x = 993,893,310.72/50,148
  6. Step 6: Final answer
    x = 19,819.20

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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.