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Finding the Fourth Proportional to 75,532, 104,234.16 and 41,997.28

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Solution

The fourth proportional to 75,532, 104,234.16 and 41,997.28 is: 57,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,532 : 104,234.16 = 41,997.28 : x
  2. Step 2: Convert to fraction form
    75,532/104,234.16 = 41,997.28/x
  3. Step 3: Cross multiply
    75,532x = 104,234.16 × 41,997.28
  4. Step 4: Simplify right side
    75,532x = 4,377,551,203.08
  5. Step 5: Solve for x
    x = 4,377,551,203.08/75,532
  6. Step 6: Final answer
    x = 57,956.25

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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.