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Finding the Fourth Proportional to 30,131.78, 45,197.24 and 9,355.28

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Solution

The fourth proportional to 30,131.78, 45,197.24 and 9,355.28 is: 14,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131.78 : 45,197.24 = 9,355.28 : x
  2. Step 2: Convert to fraction form
    30,131.78/45,197.24 = 9,355.28/x
  3. Step 3: Cross multiply
    30,131.78x = 45,197.24 × 9,355.28
  4. Step 4: Simplify right side
    30,131.78x = 422,832,835.43
  5. Step 5: Solve for x
    x = 422,832,835.43/30,131.78
  6. Step 6: Final answer
    x = 14,032.79

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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.