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Finding the Fourth Proportional to 30,509.28, 45,768.15 and 9,450.99

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Solution

The fourth proportional to 30,509.28, 45,768.15 and 9,450.99 is: 14,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.28 : 45,768.15 = 9,450.99 : x
  2. Step 2: Convert to fraction form
    30,509.28/45,768.15 = 9,450.99/x
  3. Step 3: Cross multiply
    30,509.28x = 45,768.15 × 9,450.99
  4. Step 4: Simplify right side
    30,509.28x = 432,554,327.97
  5. Step 5: Solve for x
    x = 432,554,327.97/30,509.28
  6. Step 6: Final answer
    x = 14,177.80

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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.