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Finding the Fourth Proportional to 29,157.12, 43,742.16 and 8,379

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Solution

The fourth proportional to 29,157.12, 43,742.16 and 8,379 is: 12,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,157.12 : 43,742.16 = 8,379 : x
  2. Step 2: Convert to fraction form
    29,157.12/43,742.16 = 8,379/x
  3. Step 3: Cross multiply
    29,157.12x = 43,742.16 × 8,379
  4. Step 4: Simplify right side
    29,157.12x = 366,515,558.64
  5. Step 5: Solve for x
    x = 366,515,558.64/29,157.12
  6. Step 6: Final answer
    x = 12,570.36

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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.