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Finding the Fourth Proportional to 33,152.31, 45,748.74 and 18,045

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Solution

The fourth proportional to 33,152.31, 45,748.74 and 18,045 is: 24,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.31 : 45,748.74 = 18,045 : x
  2. Step 2: Convert to fraction form
    33,152.31/45,748.74 = 18,045/x
  3. Step 3: Cross multiply
    33,152.31x = 45,748.74 × 18,045
  4. Step 4: Simplify right side
    33,152.31x = 825,536,013.30
  5. Step 5: Solve for x
    x = 825,536,013.30/33,152.31
  6. Step 6: Final answer
    x = 24,901.31

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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.