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Finding the Fourth Proportional to 32,954.58, 49,421.64 and 11,891.88

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Solution

The fourth proportional to 32,954.58, 49,421.64 and 11,891.88 is: 17,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.58 : 49,421.64 = 11,891.88 : x
  2. Step 2: Convert to fraction form
    32,954.58/49,421.64 = 11,891.88/x
  3. Step 3: Cross multiply
    32,954.58x = 49,421.64 × 11,891.88
  4. Step 4: Simplify right side
    32,954.58x = 587,716,212.28
  5. Step 5: Solve for x
    x = 587,716,212.28/32,954.58
  6. Step 6: Final answer
    x = 17,834.13

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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.