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Finding the Fourth Proportional to 33,666.21, 50,483.79 and 9,965.27

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Solution

The fourth proportional to 33,666.21, 50,483.79 and 9,965.27 is: 14,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666.21 : 50,483.79 = 9,965.27 : x
  2. Step 2: Convert to fraction form
    33,666.21/50,483.79 = 9,965.27/x
  3. Step 3: Cross multiply
    33,666.21x = 50,483.79 × 9,965.27
  4. Step 4: Simplify right side
    33,666.21x = 503,084,724.18
  5. Step 5: Solve for x
    x = 503,084,724.18/33,666.21
  6. Step 6: Final answer
    x = 14,943.31

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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.