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Finding the Fourth Proportional to 33,666.08, 50,499.12 and 11,468

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Solution

The fourth proportional to 33,666.08, 50,499.12 and 11,468 is: 17,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666.08 : 50,499.12 = 11,468 : x
  2. Step 2: Convert to fraction form
    33,666.08/50,499.12 = 11,468/x
  3. Step 3: Cross multiply
    33,666.08x = 50,499.12 × 11,468
  4. Step 4: Simplify right side
    33,666.08x = 579,123,908.16
  5. Step 5: Solve for x
    x = 579,123,908.16/33,666.08
  6. Step 6: Final answer
    x = 17,202

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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.