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Finding the Fourth Proportional to 55,175.84, 82,689.96 and 20,082.32

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Solution

The fourth proportional to 55,175.84, 82,689.96 and 20,082.32 is: 30,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,175.84 : 82,689.96 = 20,082.32 : x
  2. Step 2: Convert to fraction form
    55,175.84/82,689.96 = 20,082.32/x
  3. Step 3: Cross multiply
    55,175.84x = 82,689.96 × 20,082.32
  4. Step 4: Simplify right side
    55,175.84x = 1,660,606,237.51
  5. Step 5: Solve for x
    x = 1,660,606,237.51/55,175.84
  6. Step 6: Final answer
    x = 30,096.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.