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Finding the Fourth Proportional to 33,107.42, 45,656.93 and 21,150

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Solution

The fourth proportional to 33,107.42, 45,656.93 and 21,150 is: 29,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.42 : 45,656.93 = 21,150 : x
  2. Step 2: Convert to fraction form
    33,107.42/45,656.93 = 21,150/x
  3. Step 3: Cross multiply
    33,107.42x = 45,656.93 × 21,150
  4. Step 4: Simplify right side
    33,107.42x = 965,644,122.38
  5. Step 5: Solve for x
    x = 965,644,122.38/33,107.42
  6. Step 6: Final answer
    x = 29,167.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.