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Finding the Fourth Proportional to 29,406.32, 40,581.09 and 15,977.78

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Solution

The fourth proportional to 29,406.32, 40,581.09 and 15,977.78 is: 22,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.32 : 40,581.09 = 15,977.78 : x
  2. Step 2: Convert to fraction form
    29,406.32/40,581.09 = 15,977.78/x
  3. Step 3: Cross multiply
    29,406.32x = 40,581.09 × 15,977.78
  4. Step 4: Simplify right side
    29,406.32x = 648,395,525.27
  5. Step 5: Solve for x
    x = 648,395,525.27/29,406.32
  6. Step 6: Final answer
    x = 22,049.53

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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.