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Finding the Fourth Proportional to 40,697.42, 56,163.18 and 24,564.75

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Solution

The fourth proportional to 40,697.42, 56,163.18 and 24,564.75 is: 33,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,697.42 : 56,163.18 = 24,564.75 : x
  2. Step 2: Convert to fraction form
    40,697.42/56,163.18 = 24,564.75/x
  3. Step 3: Cross multiply
    40,697.42x = 56,163.18 × 24,564.75
  4. Step 4: Simplify right side
    40,697.42x = 1,379,634,475.91
  5. Step 5: Solve for x
    x = 1,379,634,475.91/40,697.42
  6. Step 6: Final answer
    x = 33,899.80

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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.