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Finding the Fourth Proportional to 32,922.75, 49,372.44 and 11,857.14

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Solution

The fourth proportional to 32,922.75, 49,372.44 and 11,857.14 is: 17,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.75 : 49,372.44 = 11,857.14 : x
  2. Step 2: Convert to fraction form
    32,922.75/49,372.44 = 11,857.14/x
  3. Step 3: Cross multiply
    32,922.75x = 49,372.44 × 11,857.14
  4. Step 4: Simplify right side
    32,922.75x = 585,415,933.22
  5. Step 5: Solve for x
    x = 585,415,933.22/32,922.75
  6. Step 6: Final answer
    x = 17,781.50

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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.