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Finding the Fourth Proportional to 30,861.64, 46,285.18 and 8,677.12

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Solution

The fourth proportional to 30,861.64, 46,285.18 and 8,677.12 is: 13,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.64 : 46,285.18 = 8,677.12 : x
  2. Step 2: Convert to fraction form
    30,861.64/46,285.18 = 8,677.12/x
  3. Step 3: Cross multiply
    30,861.64x = 46,285.18 × 8,677.12
  4. Step 4: Simplify right side
    30,861.64x = 401,622,061.08
  5. Step 5: Solve for x
    x = 401,622,061.08/30,861.64
  6. Step 6: Final answer
    x = 13,013.63

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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.