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Finding the Fourth Proportional to 30,299.09, 45,451.06 and 8,112.29

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Solution

The fourth proportional to 30,299.09, 45,451.06 and 8,112.29 is: 12,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299.09 : 45,451.06 = 8,112.29 : x
  2. Step 2: Convert to fraction form
    30,299.09/45,451.06 = 8,112.29/x
  3. Step 3: Cross multiply
    30,299.09x = 45,451.06 × 8,112.29
  4. Step 4: Simplify right side
    30,299.09x = 368,711,931.99
  5. Step 5: Solve for x
    x = 368,711,931.99/30,299.09
  6. Step 6: Final answer
    x = 12,169.08

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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.