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Finding the Fourth Proportional to 33,606.68, 50,441.17 and 16,978.42

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Solution

The fourth proportional to 33,606.68, 50,441.17 and 16,978.42 is: 25,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,606.68 : 50,441.17 = 16,978.42 : x
  2. Step 2: Convert to fraction form
    33,606.68/50,441.17 = 16,978.42/x
  3. Step 3: Cross multiply
    33,606.68x = 50,441.17 × 16,978.42
  4. Step 4: Simplify right side
    33,606.68x = 856,411,117.35
  5. Step 5: Solve for x
    x = 856,411,117.35/33,606.68
  6. Step 6: Final answer
    x = 25,483.36

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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.