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Finding the Fourth Proportional to 30,989.90, 42,769.53 and 29,089.64

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Solution

The fourth proportional to 30,989.90, 42,769.53 and 29,089.64 is: 40,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.90 : 42,769.53 = 29,089.64 : x
  2. Step 2: Convert to fraction form
    30,989.90/42,769.53 = 29,089.64/x
  3. Step 3: Cross multiply
    30,989.90x = 42,769.53 × 29,089.64
  4. Step 4: Simplify right side
    30,989.90x = 1,244,150,016.82
  5. Step 5: Solve for x
    x = 1,244,150,016.82/30,989.90
  6. Step 6: Final answer
    x = 40,146.96

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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.