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Finding the Fourth Proportional to 30,194.66, 45,299.82 and 11,475.02

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Solution

The fourth proportional to 30,194.66, 45,299.82 and 11,475.02 is: 17,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.66 : 45,299.82 = 11,475.02 : x
  2. Step 2: Convert to fraction form
    30,194.66/45,299.82 = 11,475.02/x
  3. Step 3: Cross multiply
    30,194.66x = 45,299.82 × 11,475.02
  4. Step 4: Simplify right side
    30,194.66x = 519,816,496.78
  5. Step 5: Solve for x
    x = 519,816,496.78/30,194.66
  6. Step 6: Final answer
    x = 17,215.51

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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.