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Finding the Fourth Proportional to 30,996.87, 46,488.32 and 8,809.76

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Solution

The fourth proportional to 30,996.87, 46,488.32 and 8,809.76 is: 13,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.87 : 46,488.32 = 8,809.76 : x
  2. Step 2: Convert to fraction form
    30,996.87/46,488.32 = 8,809.76/x
  3. Step 3: Cross multiply
    30,996.87x = 46,488.32 × 8,809.76
  4. Step 4: Simplify right side
    30,996.87x = 409,550,942.00
  5. Step 5: Solve for x
    x = 409,550,942.00/30,996.87
  6. Step 6: Final answer
    x = 13,212.65

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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.