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Finding the Fourth Proportional to 57,406.32, 85,992.84 and 29,646

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Solution

The fourth proportional to 57,406.32, 85,992.84 and 29,646 is: 44,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406.32 : 85,992.84 = 29,646 : x
  2. Step 2: Convert to fraction form
    57,406.32/85,992.84 = 29,646/x
  3. Step 3: Cross multiply
    57,406.32x = 85,992.84 × 29,646
  4. Step 4: Simplify right side
    57,406.32x = 2,549,343,734.64
  5. Step 5: Solve for x
    x = 2,549,343,734.64/57,406.32
  6. Step 6: Final answer
    x = 44,408.76

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