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Finding the Fourth Proportional to 32,770.42, 45,119.61 and 29,777.32

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Solution

The fourth proportional to 32,770.42, 45,119.61 and 29,777.32 is: 40,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.42 : 45,119.61 = 29,777.32 : x
  2. Step 2: Convert to fraction form
    32,770.42/45,119.61 = 29,777.32/x
  3. Step 3: Cross multiply
    32,770.42x = 45,119.61 × 29,777.32
  4. Step 4: Simplify right side
    32,770.42x = 1,343,541,037.90
  5. Step 5: Solve for x
    x = 1,343,541,037.90/32,770.42
  6. Step 6: Final answer
    x = 40,998.59

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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.