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Finding the Fourth Proportional to 30,540.25, 45,803.01 and 12,761.29

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Solution

The fourth proportional to 30,540.25, 45,803.01 and 12,761.29 is: 19,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.25 : 45,803.01 = 12,761.29 : x
  2. Step 2: Convert to fraction form
    30,540.25/45,803.01 = 12,761.29/x
  3. Step 3: Cross multiply
    30,540.25x = 45,803.01 × 12,761.29
  4. Step 4: Simplify right side
    30,540.25x = 584,505,264.47
  5. Step 5: Solve for x
    x = 584,505,264.47/30,540.25
  6. Step 6: Final answer
    x = 19,138.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.