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Finding the Fourth Proportional to 62,306.84, 85,982.10 and 34,013

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Solution

The fourth proportional to 62,306.84, 85,982.10 and 34,013 is: 46,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,306.84 : 85,982.10 = 34,013 : x
  2. Step 2: Convert to fraction form
    62,306.84/85,982.10 = 34,013/x
  3. Step 3: Cross multiply
    62,306.84x = 85,982.10 × 34,013
  4. Step 4: Simplify right side
    62,306.84x = 2,924,509,167.30
  5. Step 5: Solve for x
    x = 2,924,509,167.30/62,306.84
  6. Step 6: Final answer
    x = 46,937.21

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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.