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Finding the Fourth Proportional to 96,436.68, 133,082.82 and 53,997

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Solution

The fourth proportional to 96,436.68, 133,082.82 and 53,997 is: 74,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,436.68 : 133,082.82 = 53,997 : x
  2. Step 2: Convert to fraction form
    96,436.68/133,082.82 = 53,997/x
  3. Step 3: Cross multiply
    96,436.68x = 133,082.82 × 53,997
  4. Step 4: Simplify right side
    96,436.68x = 7,186,073,031.54
  5. Step 5: Solve for x
    x = 7,186,073,031.54/96,436.68
  6. Step 6: Final answer
    x = 74,515.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.