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Finding the Fourth Proportional to 33,438, 50,180.08 and 11,550

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Solution

The fourth proportional to 33,438, 50,180.08 and 11,550 is: 17,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438 : 50,180.08 = 11,550 : x
  2. Step 2: Convert to fraction form
    33,438/50,180.08 = 11,550/x
  3. Step 3: Cross multiply
    33,438x = 50,180.08 × 11,550
  4. Step 4: Simplify right side
    33,438x = 579,579,924
  5. Step 5: Solve for x
    x = 579,579,924/33,438
  6. Step 6: Final answer
    x = 17,332.97

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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.