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Finding the Fourth Proportional to 89,061, 133,649.82 and 33,657

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Solution

The fourth proportional to 89,061, 133,649.82 and 33,657 is: 50,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,061 : 133,649.82 = 33,657 : x
  2. Step 2: Convert to fraction form
    89,061/133,649.82 = 33,657/x
  3. Step 3: Cross multiply
    89,061x = 133,649.82 × 33,657
  4. Step 4: Simplify right side
    89,061x = 4,498,251,991.74
  5. Step 5: Solve for x
    x = 4,498,251,991.74/89,061
  6. Step 6: Final answer
    x = 50,507.54

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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.