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Finding the Fourth Proportional to 33,178.31, 45,784.62 and 18,071

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Solution

The fourth proportional to 33,178.31, 45,784.62 and 18,071 is: 24,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.31 : 45,784.62 = 18,071 : x
  2. Step 2: Convert to fraction form
    33,178.31/45,784.62 = 18,071/x
  3. Step 3: Cross multiply
    33,178.31x = 45,784.62 × 18,071
  4. Step 4: Simplify right side
    33,178.31x = 827,373,868.02
  5. Step 5: Solve for x
    x = 827,373,868.02/33,178.31
  6. Step 6: Final answer
    x = 24,937.19

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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.