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Finding the Fourth Proportional to 76,690.20, 105,832.26 and 43,156.20

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Solution

The fourth proportional to 76,690.20, 105,832.26 and 43,156.20 is: 59,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,690.20 : 105,832.26 = 43,156.20 : x
  2. Step 2: Convert to fraction form
    76,690.20/105,832.26 = 43,156.20/x
  3. Step 3: Cross multiply
    76,690.20x = 105,832.26 × 43,156.20
  4. Step 4: Simplify right side
    76,690.20x = 4,567,318,179.01
  5. Step 5: Solve for x
    x = 4,567,318,179.01/76,690.20
  6. Step 6: Final answer
    x = 59,555.43

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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.