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Finding the Fourth Proportional to 29,742.72, 44,600.26 and 11,022

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Solution

The fourth proportional to 29,742.72, 44,600.26 and 11,022 is: 16,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.72 : 44,600.26 = 11,022 : x
  2. Step 2: Convert to fraction form
    29,742.72/44,600.26 = 11,022/x
  3. Step 3: Cross multiply
    29,742.72x = 44,600.26 × 11,022
  4. Step 4: Simplify right side
    29,742.72x = 491,584,038.17
  5. Step 5: Solve for x
    x = 491,584,038.17/29,742.72
  6. Step 6: Final answer
    x = 16,527.88

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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.