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Finding the Fourth Proportional to 82,082.87, 123,134.38 and 28,056.49

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Solution

The fourth proportional to 82,082.87, 123,134.38 and 28,056.49 is: 42,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082.87 : 123,134.38 = 28,056.49 : x
  2. Step 2: Convert to fraction form
    82,082.87/123,134.38 = 28,056.49/x
  3. Step 3: Cross multiply
    82,082.87x = 123,134.38 × 28,056.49
  4. Step 4: Simplify right side
    82,082.87x = 3,454,718,123.15
  5. Step 5: Solve for x
    x = 3,454,718,123.15/82,082.87
  6. Step 6: Final answer
    x = 42,088.17

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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.