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Finding the Fourth Proportional to 30,861.80, 46,295.12 and 8,677

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Solution

The fourth proportional to 30,861.80, 46,295.12 and 8,677 is: 13,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.80 : 46,295.12 = 8,677 : x
  2. Step 2: Convert to fraction form
    30,861.80/46,295.12 = 8,677/x
  3. Step 3: Cross multiply
    30,861.80x = 46,295.12 × 8,677
  4. Step 4: Simplify right side
    30,861.80x = 401,702,756.24
  5. Step 5: Solve for x
    x = 401,702,756.24/30,861.80
  6. Step 6: Final answer
    x = 13,016.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.