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Finding the Fourth Proportional to 32,954.43, 49,421.43 and 11,891.74

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Solution

The fourth proportional to 32,954.43, 49,421.43 and 11,891.74 is: 17,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.43 : 49,421.43 = 11,891.74 : x
  2. Step 2: Convert to fraction form
    32,954.43/49,421.43 = 11,891.74/x
  3. Step 3: Cross multiply
    32,954.43x = 49,421.43 × 11,891.74
  4. Step 4: Simplify right side
    32,954.43x = 587,706,795.99
  5. Step 5: Solve for x
    x = 587,706,795.99/32,954.43
  6. Step 6: Final answer
    x = 17,833.92

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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.