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Finding the Fourth Proportional to 29,553.68, 40,790.76 and 20,126

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Solution

The fourth proportional to 29,553.68, 40,790.76 and 20,126 is: 27,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,553.68 : 40,790.76 = 20,126 : x
  2. Step 2: Convert to fraction form
    29,553.68/40,790.76 = 20,126/x
  3. Step 3: Cross multiply
    29,553.68x = 40,790.76 × 20,126
  4. Step 4: Simplify right side
    29,553.68x = 820,954,835.76
  5. Step 5: Solve for x
    x = 820,954,835.76/29,553.68
  6. Step 6: Final answer
    x = 27,778.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.