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Finding the Fourth Proportional to 32,780, 45,240.26 and 18,634.96

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Solution

The fourth proportional to 32,780, 45,240.26 and 18,634.96 is: 25,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780 : 45,240.26 = 18,634.96 : x
  2. Step 2: Convert to fraction form
    32,780/45,240.26 = 18,634.96/x
  3. Step 3: Cross multiply
    32,780x = 45,240.26 × 18,634.96
  4. Step 4: Simplify right side
    32,780x = 843,050,435.49
  5. Step 5: Solve for x
    x = 843,050,435.49/32,780
  6. Step 6: Final answer
    x = 25,718.44

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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.