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Finding the Fourth Proportional to 32,949, 49,418.26 and 10,762.20

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Solution

The fourth proportional to 32,949, 49,418.26 and 10,762.20 is: 16,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949 : 49,418.26 = 10,762.20 : x
  2. Step 2: Convert to fraction form
    32,949/49,418.26 = 10,762.20/x
  3. Step 3: Cross multiply
    32,949x = 49,418.26 × 10,762.20
  4. Step 4: Simplify right side
    32,949x = 531,849,197.77
  5. Step 5: Solve for x
    x = 531,849,197.77/32,949
  6. Step 6: Final answer
    x = 16,141.59

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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.