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Finding the Fourth Proportional to 32,950.99, 49,421.25 and 10,764.19

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Solution

The fourth proportional to 32,950.99, 49,421.25 and 10,764.19 is: 16,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.99 : 49,421.25 = 10,764.19 : x
  2. Step 2: Convert to fraction form
    32,950.99/49,421.25 = 10,764.19/x
  3. Step 3: Cross multiply
    32,950.99x = 49,421.25 × 10,764.19
  4. Step 4: Simplify right side
    32,950.99x = 531,979,725.04
  5. Step 5: Solve for x
    x = 531,979,725.04/32,950.99
  6. Step 6: Final answer
    x = 16,144.57

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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.