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Finding the Fourth Proportional to 32,740, 45,181.20 and 17,836

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Solution

The fourth proportional to 32,740, 45,181.20 and 17,836 is: 24,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740 : 45,181.20 = 17,836 : x
  2. Step 2: Convert to fraction form
    32,740/45,181.20 = 17,836/x
  3. Step 3: Cross multiply
    32,740x = 45,181.20 × 17,836
  4. Step 4: Simplify right side
    32,740x = 805,851,883.20
  5. Step 5: Solve for x
    x = 805,851,883.20/32,740
  6. Step 6: Final answer
    x = 24,613.68

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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.