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Finding the Fourth Proportional to 30,540.78, 45,773.10 and 13,896.36

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Solution

The fourth proportional to 30,540.78, 45,773.10 and 13,896.36 is: 20,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.78 : 45,773.10 = 13,896.36 : x
  2. Step 2: Convert to fraction form
    30,540.78/45,773.10 = 13,896.36/x
  3. Step 3: Cross multiply
    30,540.78x = 45,773.10 × 13,896.36
  4. Step 4: Simplify right side
    30,540.78x = 636,079,475.92
  5. Step 5: Solve for x
    x = 636,079,475.92/30,540.78
  6. Step 6: Final answer
    x = 20,827.22

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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.