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Finding the Fourth Proportional to 40,679, 56,097.60 and 31,723.24

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Solution

The fourth proportional to 40,679, 56,097.60 and 31,723.24 is: 43,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,679 : 56,097.60 = 31,723.24 : x
  2. Step 2: Convert to fraction form
    40,679/56,097.60 = 31,723.24/x
  3. Step 3: Cross multiply
    40,679x = 56,097.60 × 31,723.24
  4. Step 4: Simplify right side
    40,679x = 1,779,597,628.22
  5. Step 5: Solve for x
    x = 1,779,597,628.22/40,679
  6. Step 6: Final answer
    x = 43,747.33

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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.