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Finding the Fourth Proportional to 35,644, 53,446.36 and 24,412.28

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Solution

The fourth proportional to 35,644, 53,446.36 and 24,412.28 is: 36,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644 : 53,446.36 = 24,412.28 : x
  2. Step 2: Convert to fraction form
    35,644/53,446.36 = 24,412.28/x
  3. Step 3: Cross multiply
    35,644x = 53,446.36 × 24,412.28
  4. Step 4: Simplify right side
    35,644x = 1,304,747,505.30
  5. Step 5: Solve for x
    x = 1,304,747,505.30/35,644
  6. Step 6: Final answer
    x = 36,604.97

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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.