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Finding the Fourth Proportional to 37,493.20, 56,231.70 and 16,433.20

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Solution

The fourth proportional to 37,493.20, 56,231.70 and 16,433.20 is: 24,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,493.20 : 56,231.70 = 16,433.20 : x
  2. Step 2: Convert to fraction form
    37,493.20/56,231.70 = 16,433.20/x
  3. Step 3: Cross multiply
    37,493.20x = 56,231.70 × 16,433.20
  4. Step 4: Simplify right side
    37,493.20x = 924,066,772.44
  5. Step 5: Solve for x
    x = 924,066,772.44/37,493.20
  6. Step 6: Final answer
    x = 24,646.25

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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.