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Finding the Fourth Proportional to 30,996.32, 46,495.08 and 8,809.80

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Solution

The fourth proportional to 30,996.32, 46,495.08 and 8,809.80 is: 13,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.32 : 46,495.08 = 8,809.80 : x
  2. Step 2: Convert to fraction form
    30,996.32/46,495.08 = 8,809.80/x
  3. Step 3: Cross multiply
    30,996.32x = 46,495.08 × 8,809.80
  4. Step 4: Simplify right side
    30,996.32x = 409,612,355.78
  5. Step 5: Solve for x
    x = 409,612,355.78/30,996.32
  6. Step 6: Final answer
    x = 13,214.87

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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.