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Finding the Fourth Proportional to 52,335.97, 72,221.44 and 29,676.50

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Solution

The fourth proportional to 52,335.97, 72,221.44 and 29,676.50 is: 40,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,335.97 : 72,221.44 = 29,676.50 : x
  2. Step 2: Convert to fraction form
    52,335.97/72,221.44 = 29,676.50/x
  3. Step 3: Cross multiply
    52,335.97x = 72,221.44 × 29,676.50
  4. Step 4: Simplify right side
    52,335.97x = 2,143,279,564.16
  5. Step 5: Solve for x
    x = 2,143,279,564.16/52,335.97
  6. Step 6: Final answer
    x = 40,952.32

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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.