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Finding the Fourth Proportional to 30,441.41, 45,666.41 and 9,383.16

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Solution

The fourth proportional to 30,441.41, 45,666.41 and 9,383.16 is: 14,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.41 : 45,666.41 = 9,383.16 : x
  2. Step 2: Convert to fraction form
    30,441.41/45,666.41 = 9,383.16/x
  3. Step 3: Cross multiply
    30,441.41x = 45,666.41 × 9,383.16
  4. Step 4: Simplify right side
    30,441.41x = 428,495,231.66
  5. Step 5: Solve for x
    x = 428,495,231.66/30,441.41
  6. Step 6: Final answer
    x = 14,076.06

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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.