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Finding the Fourth Proportional to 33,762, 50,514.50 and 20,385.76

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Solution

The fourth proportional to 33,762, 50,514.50 and 20,385.76 is: 30,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,762 : 50,514.50 = 20,385.76 : x
  2. Step 2: Convert to fraction form
    33,762/50,514.50 = 20,385.76/x
  3. Step 3: Cross multiply
    33,762x = 50,514.50 × 20,385.76
  4. Step 4: Simplify right side
    33,762x = 1,029,776,473.52
  5. Step 5: Solve for x
    x = 1,029,776,473.52/33,762
  6. Step 6: Final answer
    x = 30,501.05

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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.