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Finding the Fourth Proportional to 33,229, 49,779.54 and 26,171.68

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Solution

The fourth proportional to 33,229, 49,779.54 and 26,171.68 is: 39,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229 : 49,779.54 = 26,171.68 : x
  2. Step 2: Convert to fraction form
    33,229/49,779.54 = 26,171.68/x
  3. Step 3: Cross multiply
    33,229x = 49,779.54 × 26,171.68
  4. Step 4: Simplify right side
    33,229x = 1,302,814,191.43
  5. Step 5: Solve for x
    x = 1,302,814,191.43/33,229
  6. Step 6: Final answer
    x = 39,207.14

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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.