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Finding the Fourth Proportional to 36,884.43, 55,307.43 and 13,182.84

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Solution

The fourth proportional to 36,884.43, 55,307.43 and 13,182.84 is: 19,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,884.43 : 55,307.43 = 13,182.84 : x
  2. Step 2: Convert to fraction form
    36,884.43/55,307.43 = 13,182.84/x
  3. Step 3: Cross multiply
    36,884.43x = 55,307.43 × 13,182.84
  4. Step 4: Simplify right side
    36,884.43x = 729,109,000.50
  5. Step 5: Solve for x
    x = 729,109,000.50/36,884.43
  6. Step 6: Final answer
    x = 19,767.39

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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.