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Finding the Fourth Proportional to 65,082, 89,813.22 and 35,274

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Solution

The fourth proportional to 65,082, 89,813.22 and 35,274 is: 48,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,082 : 89,813.22 = 35,274 : x
  2. Step 2: Convert to fraction form
    65,082/89,813.22 = 35,274/x
  3. Step 3: Cross multiply
    65,082x = 89,813.22 × 35,274
  4. Step 4: Simplify right side
    65,082x = 3,168,071,522.28
  5. Step 5: Solve for x
    x = 3,168,071,522.28/65,082
  6. Step 6: Final answer
    x = 48,678.15

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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.