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Finding the Fourth Proportional to 39,241, 58,861.50 and 10,057

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Solution

The fourth proportional to 39,241, 58,861.50 and 10,057 is: 15,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,241 : 58,861.50 = 10,057 : x
  2. Step 2: Convert to fraction form
    39,241/58,861.50 = 10,057/x
  3. Step 3: Cross multiply
    39,241x = 58,861.50 × 10,057
  4. Step 4: Simplify right side
    39,241x = 591,970,105.50
  5. Step 5: Solve for x
    x = 591,970,105.50/39,241
  6. Step 6: Final answer
    x = 15,085.50

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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.