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Finding the Fourth Proportional to 52,846.11, 72,805.10 and 36,905.31

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Solution

The fourth proportional to 52,846.11, 72,805.10 and 36,905.31 is: 50,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,846.11 : 72,805.10 = 36,905.31 : x
  2. Step 2: Convert to fraction form
    52,846.11/72,805.10 = 36,905.31/x
  3. Step 3: Cross multiply
    52,846.11x = 72,805.10 × 36,905.31
  4. Step 4: Simplify right side
    52,846.11x = 2,686,894,600.55
  5. Step 5: Solve for x
    x = 2,686,894,600.55/52,846.11
  6. Step 6: Final answer
    x = 50,843.75

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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.