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Finding the Fourth Proportional to 52,645.38, 72,644.26 and 29,984.42

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Solution

The fourth proportional to 52,645.38, 72,644.26 and 29,984.42 is: 41,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,645.38 : 72,644.26 = 29,984.42 : x
  2. Step 2: Convert to fraction form
    52,645.38/72,644.26 = 29,984.42/x
  3. Step 3: Cross multiply
    52,645.38x = 72,644.26 × 29,984.42
  4. Step 4: Simplify right side
    52,645.38x = 2,178,196,002.43
  5. Step 5: Solve for x
    x = 2,178,196,002.43/52,645.38
  6. Step 6: Final answer
    x = 41,374.87

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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.