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Finding the Fourth Proportional to 33,777, 50,673.06 and 15,309

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Solution

The fourth proportional to 33,777, 50,673.06 and 15,309 is: 22,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,777 : 50,673.06 = 15,309 : x
  2. Step 2: Convert to fraction form
    33,777/50,673.06 = 15,309/x
  3. Step 3: Cross multiply
    33,777x = 50,673.06 × 15,309
  4. Step 4: Simplify right side
    33,777x = 775,753,875.54
  5. Step 5: Solve for x
    x = 775,753,875.54/33,777
  6. Step 6: Final answer
    x = 22,966.93

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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.