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Finding the Fourth Proportional to 29,743.72, 44,601.76 and 11,023

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Solution

The fourth proportional to 29,743.72, 44,601.76 and 11,023 is: 16,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.72 : 44,601.76 = 11,023 : x
  2. Step 2: Convert to fraction form
    29,743.72/44,601.76 = 11,023/x
  3. Step 3: Cross multiply
    29,743.72x = 44,601.76 × 11,023
  4. Step 4: Simplify right side
    29,743.72x = 491,645,200.48
  5. Step 5: Solve for x
    x = 491,645,200.48/29,743.72
  6. Step 6: Final answer
    x = 16,529.38

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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.