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Finding the Fourth Proportional to 29,562.68, 40,803.18 and 20,135

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Solution

The fourth proportional to 29,562.68, 40,803.18 and 20,135 is: 27,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,562.68 : 40,803.18 = 20,135 : x
  2. Step 2: Convert to fraction form
    29,562.68/40,803.18 = 20,135/x
  3. Step 3: Cross multiply
    29,562.68x = 40,803.18 × 20,135
  4. Step 4: Simplify right side
    29,562.68x = 821,572,029.30
  5. Step 5: Solve for x
    x = 821,572,029.30/29,562.68
  6. Step 6: Final answer
    x = 27,790.85

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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.