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Finding the Fourth Proportional to 30,341.24, 45,512.09 and 9,281.66

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Solution

The fourth proportional to 30,341.24, 45,512.09 and 9,281.66 is: 13,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341.24 : 45,512.09 = 9,281.66 : x
  2. Step 2: Convert to fraction form
    30,341.24/45,512.09 = 9,281.66/x
  3. Step 3: Cross multiply
    30,341.24x = 45,512.09 × 9,281.66
  4. Step 4: Simplify right side
    30,341.24x = 422,427,471.30
  5. Step 5: Solve for x
    x = 422,427,471.30/30,341.24
  6. Step 6: Final answer
    x = 13,922.55

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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.