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Finding the Fourth Proportional to 39,285, 58,938.30 and 11,583

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Solution

The fourth proportional to 39,285, 58,938.30 and 11,583 is: 17,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,285 : 58,938.30 = 11,583 : x
  2. Step 2: Convert to fraction form
    39,285/58,938.30 = 11,583/x
  3. Step 3: Cross multiply
    39,285x = 58,938.30 × 11,583
  4. Step 4: Simplify right side
    39,285x = 682,682,328.90
  5. Step 5: Solve for x
    x = 682,682,328.90/39,285
  6. Step 6: Final answer
    x = 17,377.68

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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.