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Finding the Fourth Proportional to 30,861.34, 46,294.41 and 10,086.94

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Solution

The fourth proportional to 30,861.34, 46,294.41 and 10,086.94 is: 15,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.34 : 46,294.41 = 10,086.94 : x
  2. Step 2: Convert to fraction form
    30,861.34/46,294.41 = 10,086.94/x
  3. Step 3: Cross multiply
    30,861.34x = 46,294.41 × 10,086.94
  4. Step 4: Simplify right side
    30,861.34x = 466,968,936.01
  5. Step 5: Solve for x
    x = 466,968,936.01/30,861.34
  6. Step 6: Final answer
    x = 15,131.19

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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.