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Finding the Fourth Proportional to 30,230.42, 45,338.33 and 9,453.92

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Solution

The fourth proportional to 30,230.42, 45,338.33 and 9,453.92 is: 14,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.42 : 45,338.33 = 9,453.92 : x
  2. Step 2: Convert to fraction form
    30,230.42/45,338.33 = 9,453.92/x
  3. Step 3: Cross multiply
    30,230.42x = 45,338.33 × 9,453.92
  4. Step 4: Simplify right side
    30,230.42x = 428,624,741.70
  5. Step 5: Solve for x
    x = 428,624,741.70/30,230.42
  6. Step 6: Final answer
    x = 14,178.59

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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.