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Finding the Fourth Proportional to 62,082, 85,673.16 and 33,787.89

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Solution

The fourth proportional to 62,082, 85,673.16 and 33,787.89 is: 46,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,082 : 85,673.16 = 33,787.89 : x
  2. Step 2: Convert to fraction form
    62,082/85,673.16 = 33,787.89/x
  3. Step 3: Cross multiply
    62,082x = 85,673.16 × 33,787.89
  4. Step 4: Simplify right side
    62,082x = 2,894,715,306.03
  5. Step 5: Solve for x
    x = 2,894,715,306.03/62,082
  6. Step 6: Final answer
    x = 46,627.29

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Why These Related Problems?

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