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Finding the Fourth Proportional to 32,954.43, 49,435.29 and 9,582.69

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Solution

The fourth proportional to 32,954.43, 49,435.29 and 9,582.69 is: 14,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.43 : 49,435.29 = 9,582.69 : x
  2. Step 2: Convert to fraction form
    32,954.43/49,435.29 = 9,582.69/x
  3. Step 3: Cross multiply
    32,954.43x = 49,435.29 × 9,582.69
  4. Step 4: Simplify right side
    32,954.43x = 473,723,059.13
  5. Step 5: Solve for x
    x = 473,723,059.13/32,954.43
  6. Step 6: Final answer
    x = 14,375.09

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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.