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Finding the Fourth Proportional to 30,286.28, 45,436.68 and 9,509.78

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Solution

The fourth proportional to 30,286.28, 45,436.68 and 9,509.78 is: 14,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.28 : 45,436.68 = 9,509.78 : x
  2. Step 2: Convert to fraction form
    30,286.28/45,436.68 = 9,509.78/x
  3. Step 3: Cross multiply
    30,286.28x = 45,436.68 × 9,509.78
  4. Step 4: Simplify right side
    30,286.28x = 432,092,830.73
  5. Step 5: Solve for x
    x = 432,092,830.73/30,286.28
  6. Step 6: Final answer
    x = 14,266.95

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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.