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Finding the Fourth Proportional to 30,289.72, 45,441.78 and 9,513.22

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Solution

The fourth proportional to 30,289.72, 45,441.78 and 9,513.22 is: 14,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.72 : 45,441.78 = 9,513.22 : x
  2. Step 2: Convert to fraction form
    30,289.72/45,441.78 = 9,513.22/x
  3. Step 3: Cross multiply
    30,289.72x = 45,441.78 × 9,513.22
  4. Step 4: Simplify right side
    30,289.72x = 432,297,650.33
  5. Step 5: Solve for x
    x = 432,297,650.33/30,289.72
  6. Step 6: Final answer
    x = 14,272.09

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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.